What is the Least Common Multiple of 69516 and 69536?

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 69536 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 69536, than apply into the LCM equation.

GCF(69516,69536) = 4
LCM(69516,69536) = ( 69516 × 69536) / 4
LCM(69516,69536) = 4833864576 / 4
LCM(69516,69536) = 1208466144

Least Common Multiple (LCM) of 69516 and 69536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69516 and 69536. First we will calculate the prime factors of 69516 and 69536.

Prime Factorization of 69516

Prime Factorization of 69536

Now multiplying the highest exponent prime factors to calculate the LCM of 69516 and 69536.

LCM(69516,69536) = 2⁵ × 3² × 1931¹ × 41¹ × 53¹
LCM(69516,69536) = 1208466144