What is the Least Common Multiple of 8609 and 8625?

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 8609 and 8625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8609 and 8625, than apply into the LCM equation.

GCF(8609,8625) = 1
LCM(8609,8625) = ( 8609 × 8625) / 1
LCM(8609,8625) = 74252625 / 1
LCM(8609,8625) = 74252625

Least Common Multiple (LCM) of 8609 and 8625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8609 and 8625. First we will calculate the prime factors of 8609 and 8625.

Prime Factorization of 8609

Prime Factorization of 8625

Now multiplying the highest exponent prime factors to calculate the LCM of 8609 and 8625.

LCM(8609,8625) = 8609¹ × 3¹ × 5³ × 23¹
LCM(8609,8625) = 74252625