What is the Least Common Multiple of 16625 and 16635?

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 16625 and 16635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16625 and 16635, than apply into the LCM equation.

GCF(16625,16635) = 5
LCM(16625,16635) = ( 16625 × 16635) / 5
LCM(16625,16635) = 276556875 / 5
LCM(16625,16635) = 55311375

Least Common Multiple (LCM) of 16625 and 16635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16625 and 16635. First we will calculate the prime factors of 16625 and 16635.

Prime Factorization of 16625

Prime Factorization of 16635

Now multiplying the highest exponent prime factors to calculate the LCM of 16625 and 16635.

LCM(16625,16635) = 5³ × 7¹ × 19¹ × 3¹ × 1109¹
LCM(16625,16635) = 55311375