What is the Least Common Multiple of 95560 and 95578?

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 95560 and 95578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95560 and 95578, than apply into the LCM equation.

GCF(95560,95578) = 2
LCM(95560,95578) = ( 95560 × 95578) / 2
LCM(95560,95578) = 9133433680 / 2
LCM(95560,95578) = 4566716840

Least Common Multiple (LCM) of 95560 and 95578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95560 and 95578. First we will calculate the prime factors of 95560 and 95578.

Prime Factorization of 95560

Prime Factorization of 95578

Now multiplying the highest exponent prime factors to calculate the LCM of 95560 and 95578.

LCM(95560,95578) = 2³ × 5¹ × 2389¹ × 7¹ × 6827¹
LCM(95560,95578) = 4566716840