What is the Least Common Multiple of 95576 and 95582?

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 95576 and 95582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95576 and 95582, than apply into the LCM equation.

GCF(95576,95582) = 2
LCM(95576,95582) = ( 95576 × 95582) / 2
LCM(95576,95582) = 9135345232 / 2
LCM(95576,95582) = 4567672616

Least Common Multiple (LCM) of 95576 and 95582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95576 and 95582. First we will calculate the prime factors of 95576 and 95582.

Prime Factorization of 95576

Prime Factorization of 95582

Now multiplying the highest exponent prime factors to calculate the LCM of 95576 and 95582.

LCM(95576,95582) = 2³ × 13¹ × 919¹ × 47791¹
LCM(95576,95582) = 4567672616