# What is the Least Common Multiple of 120 and 126?

*Least common multiple* or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 120 and 126 is **2520**.

LCM(120,126) = 2520

## Least Common Multiple of 120 and 126 with GCF Formula

The formula of **LCM** is LCM(a,b) = ( a × b) / GCF(a,b).

We need to calculate greatest common factor 120 and 126, than apply into the LCM equation.

GCF(120,126) = 6

LCM(120,126) = ( 120 × 126) / 6

LCM(120,126) = 15120 / 6

LCM(120,126) = 2520

## Least Common Multiple (LCM) of 120 and 126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 120 and 126. First we will calculate the **prime factors of 120 and 126**.

### Prime Factorization of 120

Prime factors of 120 are 2, 3, 5. Prime factorization of **120** in exponential form is:

120 = 2^{3} × 3^{1} × 5^{1}

### Prime Factorization of 126

Prime factors of 126 are 2, 3, 7. Prime factorization of **126** in exponential form is:

126 = 2^{1} × 3^{2} × 7^{1}

Now multiplying the highest exponent prime factors to calculate the **LCM of 120 and 126**.

LCM(120,126) = 2^{3} × 3^{2} × 5^{1} × 7^{1}

LCM(120,126) = 2520

#### Related Least Common Multiples of 120

- LCM of 120 and 124
- LCM of 120 and 125
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- LCM of 120 and 128
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#### Related Least Common Multiples of 126

- LCM of 126 and 130
- LCM of 126 and 131
- LCM of 126 and 132
- LCM of 126 and 133
- LCM of 126 and 134
- LCM of 126 and 135
- LCM of 126 and 136
- LCM of 126 and 137
- LCM of 126 and 138
- LCM of 126 and 139
- LCM of 126 and 140
- LCM of 126 and 141
- LCM of 126 and 142
- LCM of 126 and 143
- LCM of 126 and 144
- LCM of 126 and 145
- LCM of 126 and 146