What is the Least Common Multiple of 5964 and 5970?

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 5964 and 5970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5964 and 5970, than apply into the LCM equation.

GCF(5964,5970) = 6
LCM(5964,5970) = ( 5964 × 5970) / 6
LCM(5964,5970) = 35605080 / 6
LCM(5964,5970) = 5934180

Least Common Multiple (LCM) of 5964 and 5970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5964 and 5970. First we will calculate the prime factors of 5964 and 5970.

Prime Factorization of 5964

Prime Factorization of 5970

Now multiplying the highest exponent prime factors to calculate the LCM of 5964 and 5970.

LCM(5964,5970) = 2² × 3¹ × 7¹ × 71¹ × 5¹ × 199¹
LCM(5964,5970) = 5934180