What is the Least Common Multiple of 95946 and 95952?

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 95946 and 95952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95946 and 95952, than apply into the LCM equation.

GCF(95946,95952) = 6
LCM(95946,95952) = ( 95946 × 95952) / 6
LCM(95946,95952) = 9206210592 / 6
LCM(95946,95952) = 1534368432

Least Common Multiple (LCM) of 95946 and 95952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95946 and 95952. First we will calculate the prime factors of 95946 and 95952.

Prime Factorization of 95946

Prime Factorization of 95952

Now multiplying the highest exponent prime factors to calculate the LCM of 95946 and 95952.

LCM(95946,95952) = 2⁴ × 3¹ × 15991¹ × 1999¹
LCM(95946,95952) = 1534368432