What is the Least Common Multiple of 65952 and 65972?

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 65952 and 65972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65952 and 65972, than apply into the LCM equation.

GCF(65952,65972) = 4
LCM(65952,65972) = ( 65952 × 65972) / 4
LCM(65952,65972) = 4350985344 / 4
LCM(65952,65972) = 1087746336

Least Common Multiple (LCM) of 65952 and 65972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65952 and 65972. First we will calculate the prime factors of 65952 and 65972.

Prime Factorization of 65952

Prime Factorization of 65972

Now multiplying the highest exponent prime factors to calculate the LCM of 65952 and 65972.

LCM(65952,65972) = 2⁵ × 3² × 229¹ × 16493¹
LCM(65952,65972) = 1087746336