What is the Least Common Multiple of 59725 and 59733?

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 59725 and 59733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59725 and 59733, than apply into the LCM equation.

GCF(59725,59733) = 1
LCM(59725,59733) = ( 59725 × 59733) / 1
LCM(59725,59733) = 3567553425 / 1
LCM(59725,59733) = 3567553425

Least Common Multiple (LCM) of 59725 and 59733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59725 and 59733. First we will calculate the prime factors of 59725 and 59733.

Prime Factorization of 59725

Prime Factorization of 59733

Now multiplying the highest exponent prime factors to calculate the LCM of 59725 and 59733.

LCM(59725,59733) = 5² × 2389¹ × 3² × 6637¹
LCM(59725,59733) = 3567553425