What is the Least Common Multiple of 16620 and 16625?

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 16620 and 16625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16620 and 16625, than apply into the LCM equation.

GCF(16620,16625) = 5
LCM(16620,16625) = ( 16620 × 16625) / 5
LCM(16620,16625) = 276307500 / 5
LCM(16620,16625) = 55261500

Least Common Multiple (LCM) of 16620 and 16625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16620 and 16625. First we will calculate the prime factors of 16620 and 16625.

Prime Factorization of 16620

Prime Factorization of 16625

Now multiplying the highest exponent prime factors to calculate the LCM of 16620 and 16625.

LCM(16620,16625) = 2² × 3¹ × 5³ × 277¹ × 7¹ × 19¹
LCM(16620,16625) = 55261500