What is the Least Common Multiple of 5952 and 5968?

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 5968 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 5968, than apply into the LCM equation.

GCF(5952,5968) = 16
LCM(5952,5968) = ( 5952 × 5968) / 16
LCM(5952,5968) = 35521536 / 16
LCM(5952,5968) = 2220096

Least Common Multiple (LCM) of 5952 and 5968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5952 and 5968. First we will calculate the prime factors of 5952 and 5968.

Prime Factorization of 5952

Prime Factorization of 5968

Now multiplying the highest exponent prime factors to calculate the LCM of 5952 and 5968.

LCM(5952,5968) = 2⁶ × 3¹ × 31¹ × 373¹
LCM(5952,5968) = 2220096