What is the Least Common Multiple of 95714 and 95732?

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 95714 and 95732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95714 and 95732, than apply into the LCM equation.

GCF(95714,95732) = 2
LCM(95714,95732) = ( 95714 × 95732) / 2
LCM(95714,95732) = 9162892648 / 2
LCM(95714,95732) = 4581446324

Least Common Multiple (LCM) of 95714 and 95732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95714 and 95732. First we will calculate the prime factors of 95714 and 95732.

Prime Factorization of 95714

Prime Factorization of 95732

Now multiplying the highest exponent prime factors to calculate the LCM of 95714 and 95732.

LCM(95714,95732) = 2² × 47857¹ × 7¹ × 13¹ × 263¹
LCM(95714,95732) = 4581446324