# What is the Least Common Multiple of 61 and 74?

*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 61 and 74 is **4514**.

LCM(61,74) = 4514

## Least Common Multiple of 61 and 74 with GCF Formula

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

We need to calculate greatest common factor 61 and 74, than apply into the LCM equation.

GCF(61,74) = 1

LCM(61,74) = ( 61 × 74) / 1

LCM(61,74) = 4514 / 1

LCM(61,74) = 4514

## Least Common Multiple (LCM) of 61 and 74 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61 and 74. First we will calculate the **prime factors of 61 and 74**.

### Prime Factorization of 61

Prime factors of 61 are 61. Prime factorization of **61** in exponential form is:

61 = 61^{1}

### Prime Factorization of 74

Prime factors of 74 are 2, 37. Prime factorization of **74** in exponential form is:

74 = 2^{1} × 37^{1}

Now multiplying the highest exponent prime factors to calculate the **LCM of 61 and 74**.

LCM(61,74) = 61^{1} × 2^{1} × 37^{1}

LCM(61,74) = 4514