What is the Least Common Multiple of 95952 and 95972?

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 95952 and 95972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95952 and 95972, than apply into the LCM equation.

GCF(95952,95972) = 4
LCM(95952,95972) = ( 95952 × 95972) / 4
LCM(95952,95972) = 9208705344 / 4
LCM(95952,95972) = 2302176336

Least Common Multiple (LCM) of 95952 and 95972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95952 and 95972. First we will calculate the prime factors of 95952 and 95972.

Prime Factorization of 95952

Prime Factorization of 95972

Now multiplying the highest exponent prime factors to calculate the LCM of 95952 and 95972.

LCM(95952,95972) = 2⁴ × 3¹ × 1999¹ × 23993¹
LCM(95952,95972) = 2302176336