What is the Least Common Multiple of 32964 and 32970?

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 of 32964 and 32970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32964 and 32970, than apply into the LCM equation.

GCF(32964,32970) = 6
LCM(32964,32970) = ( 32964 × 32970) / 6
LCM(32964,32970) = 1086823080 / 6
LCM(32964,32970) = 181137180

Least Common Multiple (LCM) of 32964 and 32970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32964 and 32970. First we will calculate the prime factors of 32964 and 32970.

Prime Factorization of 32964

Prime Factorization of 32970

Now multiplying the highest exponent prime factors to calculate the LCM of 32964 and 32970.

LCM(32964,32970) = 2² × 3¹ × 41¹ × 67¹ × 5¹ × 7¹ × 157¹
LCM(32964,32970) = 181137180