What is the Least Common Multiple of 59516 and 59528?

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 59516 and 59528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59516 and 59528, than apply into the LCM equation.

GCF(59516,59528) = 4
LCM(59516,59528) = ( 59516 × 59528) / 4
LCM(59516,59528) = 3542868448 / 4
LCM(59516,59528) = 885717112

Least Common Multiple (LCM) of 59516 and 59528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59516 and 59528. First we will calculate the prime factors of 59516 and 59528.

Prime Factorization of 59516

Prime Factorization of 59528

Now multiplying the highest exponent prime factors to calculate the LCM of 59516 and 59528.

LCM(59516,59528) = 2³ × 14879¹ × 7¹ × 1063¹
LCM(59516,59528) = 885717112