What is the Least Common Multiple of 5952 and 5964?

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 5952 and 5964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5952 and 5964, than apply into the LCM equation.

GCF(5952,5964) = 12
LCM(5952,5964) = ( 5952 × 5964) / 12
LCM(5952,5964) = 35497728 / 12
LCM(5952,5964) = 2958144

Least Common Multiple (LCM) of 5952 and 5964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5952 and 5964. First we will calculate the prime factors of 5952 and 5964.

Prime Factorization of 5952

Prime Factorization of 5964

Now multiplying the highest exponent prime factors to calculate the LCM of 5952 and 5964.

LCM(5952,5964) = 2⁶ × 3¹ × 31¹ × 7¹ × 71¹
LCM(5952,5964) = 2958144