What is the Least Common Multiple of 69516 and 69524?

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 69516 and 69524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69516 and 69524, than apply into the LCM equation.

GCF(69516,69524) = 4
LCM(69516,69524) = ( 69516 × 69524) / 4
LCM(69516,69524) = 4833030384 / 4
LCM(69516,69524) = 1208257596

Least Common Multiple (LCM) of 69516 and 69524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69516 and 69524. First we will calculate the prime factors of 69516 and 69524.

Prime Factorization of 69516

Prime Factorization of 69524

Now multiplying the highest exponent prime factors to calculate the LCM of 69516 and 69524.

LCM(69516,69524) = 2² × 3² × 1931¹ × 7¹ × 13¹ × 191¹
LCM(69516,69524) = 1208257596