What is the Least Common Multiple of 95550 and 95564?

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 95550 and 95564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95550 and 95564, than apply into the LCM equation.

GCF(95550,95564) = 14
LCM(95550,95564) = ( 95550 × 95564) / 14
LCM(95550,95564) = 9131140200 / 14
LCM(95550,95564) = 652224300

Least Common Multiple (LCM) of 95550 and 95564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95550 and 95564. First we will calculate the prime factors of 95550 and 95564.

Prime Factorization of 95550

Prime Factorization of 95564

Now multiplying the highest exponent prime factors to calculate the LCM of 95550 and 95564.

LCM(95550,95564) = 2² × 3¹ × 5² × 7² × 13¹ × 3413¹
LCM(95550,95564) = 652224300