What is the Least Common Multiple of 15625 and 15635?

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 15625 and 15635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15625 and 15635, than apply into the LCM equation.

GCF(15625,15635) = 5
LCM(15625,15635) = ( 15625 × 15635) / 5
LCM(15625,15635) = 244296875 / 5
LCM(15625,15635) = 48859375

Least Common Multiple (LCM) of 15625 and 15635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15625 and 15635. First we will calculate the prime factors of 15625 and 15635.

Prime Factorization of 15625

Prime Factorization of 15635

Now multiplying the highest exponent prime factors to calculate the LCM of 15625 and 15635.

LCM(15625,15635) = 5⁶ × 53¹ × 59¹
LCM(15625,15635) = 48859375