What is the Least Common Multiple of 69252 and 69256?

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 69252 and 69256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69252 and 69256, than apply into the LCM equation.

GCF(69252,69256) = 4
LCM(69252,69256) = ( 69252 × 69256) / 4
LCM(69252,69256) = 4796116512 / 4
LCM(69252,69256) = 1199029128

Least Common Multiple (LCM) of 69252 and 69256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69252 and 69256. First we will calculate the prime factors of 69252 and 69256.

Prime Factorization of 69252

Prime Factorization of 69256

Now multiplying the highest exponent prime factors to calculate the LCM of 69252 and 69256.

LCM(69252,69256) = 2³ × 3¹ × 29¹ × 199¹ × 11¹ × 787¹
LCM(69252,69256) = 1199029128