What is the Least Common Multiple of 19616 and 19625?

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 19616 and 19625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19616 and 19625, than apply into the LCM equation.

GCF(19616,19625) = 1
LCM(19616,19625) = ( 19616 × 19625) / 1
LCM(19616,19625) = 384964000 / 1
LCM(19616,19625) = 384964000

Least Common Multiple (LCM) of 19616 and 19625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19616 and 19625. First we will calculate the prime factors of 19616 and 19625.

Prime Factorization of 19616

Prime Factorization of 19625

Now multiplying the highest exponent prime factors to calculate the LCM of 19616 and 19625.

LCM(19616,19625) = 2⁵ × 613¹ × 5³ × 157¹
LCM(19616,19625) = 384964000