What is the Least Common Multiple of 59705 and 59725?

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 59705 and 59725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59705 and 59725, than apply into the LCM equation.

GCF(59705,59725) = 5
LCM(59705,59725) = ( 59705 × 59725) / 5
LCM(59705,59725) = 3565881125 / 5
LCM(59705,59725) = 713176225

Least Common Multiple (LCM) of 59705 and 59725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59705 and 59725. First we will calculate the prime factors of 59705 and 59725.

Prime Factorization of 59705

Prime Factorization of 59725

Now multiplying the highest exponent prime factors to calculate the LCM of 59705 and 59725.

LCM(59705,59725) = 5² × 11941¹ × 2389¹
LCM(59705,59725) = 713176225