What is the Least Common Multiple of 69516 and 69526?

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 69526 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 69526, than apply into the LCM equation.

GCF(69516,69526) = 2
LCM(69516,69526) = ( 69516 × 69526) / 2
LCM(69516,69526) = 4833169416 / 2
LCM(69516,69526) = 2416584708

Least Common Multiple (LCM) of 69516 and 69526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69516 and 69526. First we will calculate the prime factors of 69516 and 69526.

Prime Factorization of 69516

Prime Factorization of 69526

Now multiplying the highest exponent prime factors to calculate the LCM of 69516 and 69526.

LCM(69516,69526) = 2² × 3² × 1931¹ × 34763¹
LCM(69516,69526) = 2416584708