What is the Least Common Multiple of 85952 and 85968?

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 85952 and 85968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85952 and 85968, than apply into the LCM equation.

GCF(85952,85968) = 16
LCM(85952,85968) = ( 85952 × 85968) / 16
LCM(85952,85968) = 7389121536 / 16
LCM(85952,85968) = 461820096

Least Common Multiple (LCM) of 85952 and 85968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85952 and 85968. First we will calculate the prime factors of 85952 and 85968.

Prime Factorization of 85952

Prime Factorization of 85968

Now multiplying the highest exponent prime factors to calculate the LCM of 85952 and 85968.

LCM(85952,85968) = 2⁶ × 17¹ × 79¹ × 3³ × 199¹
LCM(85952,85968) = 461820096