What is the Least Common Multiple of 59528 and 59535?

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 59528 and 59535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59528 and 59535, than apply into the LCM equation.

GCF(59528,59535) = 7
LCM(59528,59535) = ( 59528 × 59535) / 7
LCM(59528,59535) = 3543999480 / 7
LCM(59528,59535) = 506285640

Least Common Multiple (LCM) of 59528 and 59535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59528 and 59535. First we will calculate the prime factors of 59528 and 59535.

Prime Factorization of 59528

Prime Factorization of 59535

Now multiplying the highest exponent prime factors to calculate the LCM of 59528 and 59535.

LCM(59528,59535) = 2³ × 7² × 1063¹ × 3⁵ × 5¹
LCM(59528,59535) = 506285640