What is the Least Common Multiple of 59625 and 59635?

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 59625 and 59635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59625 and 59635, than apply into the LCM equation.

GCF(59625,59635) = 5
LCM(59625,59635) = ( 59625 × 59635) / 5
LCM(59625,59635) = 3555736875 / 5
LCM(59625,59635) = 711147375

Least Common Multiple (LCM) of 59625 and 59635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59625 and 59635. First we will calculate the prime factors of 59625 and 59635.

Prime Factorization of 59625

Prime Factorization of 59635

Now multiplying the highest exponent prime factors to calculate the LCM of 59625 and 59635.

LCM(59625,59635) = 3² × 5³ × 53¹ × 11927¹
LCM(59625,59635) = 711147375