What is the Least Common Multiple of 5964 and 5976?

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 5976 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 5976, than apply into the LCM equation.

GCF(5964,5976) = 12
LCM(5964,5976) = ( 5964 × 5976) / 12
LCM(5964,5976) = 35640864 / 12
LCM(5964,5976) = 2970072

Least Common Multiple (LCM) of 5964 and 5976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5964 and 5976. First we will calculate the prime factors of 5964 and 5976.

Prime Factorization of 5964

Prime Factorization of 5976

Now multiplying the highest exponent prime factors to calculate the LCM of 5964 and 5976.

LCM(5964,5976) = 2³ × 3² × 7¹ × 71¹ × 83¹
LCM(5964,5976) = 2970072