What is the Least Common Multiple of 99272 and 99286?

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 99272 and 99286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99272 and 99286, than apply into the LCM equation.

GCF(99272,99286) = 2
LCM(99272,99286) = ( 99272 × 99286) / 2
LCM(99272,99286) = 9856319792 / 2
LCM(99272,99286) = 4928159896

Least Common Multiple (LCM) of 99272 and 99286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99272 and 99286. First we will calculate the prime factors of 99272 and 99286.

Prime Factorization of 99272

Prime Factorization of 99286

Now multiplying the highest exponent prime factors to calculate the LCM of 99272 and 99286.

LCM(99272,99286) = 2³ × 12409¹ × 11¹ × 4513¹
LCM(99272,99286) = 4928159896