What is the Least Common Multiple of 59505 and 59525?

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 59505 and 59525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59505 and 59525, than apply into the LCM equation.

GCF(59505,59525) = 5
LCM(59505,59525) = ( 59505 × 59525) / 5
LCM(59505,59525) = 3542035125 / 5
LCM(59505,59525) = 708407025

Least Common Multiple (LCM) of 59505 and 59525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59505 and 59525. First we will calculate the prime factors of 59505 and 59525.

Prime Factorization of 59505

Prime Factorization of 59525

Now multiplying the highest exponent prime factors to calculate the LCM of 59505 and 59525.

LCM(59505,59525) = 3¹ × 5² × 3967¹ × 2381¹
LCM(59505,59525) = 708407025