What is the Least Common Multiple of 95952 and 95962?

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 95962 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 95962, than apply into the LCM equation.

GCF(95952,95962) = 2
LCM(95952,95962) = ( 95952 × 95962) / 2
LCM(95952,95962) = 9207745824 / 2
LCM(95952,95962) = 4603872912

Least Common Multiple (LCM) of 95952 and 95962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95952 and 95962. First we will calculate the prime factors of 95952 and 95962.

Prime Factorization of 95952

Prime Factorization of 95962

Now multiplying the highest exponent prime factors to calculate the LCM of 95952 and 95962.

LCM(95952,95962) = 2⁴ × 3¹ × 1999¹ × 47981¹
LCM(95952,95962) = 4603872912