What is the Least Common Multiple of 7608 and 7625?

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 7608 and 7625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7608 and 7625, than apply into the LCM equation.

GCF(7608,7625) = 1
LCM(7608,7625) = ( 7608 × 7625) / 1
LCM(7608,7625) = 58011000 / 1
LCM(7608,7625) = 58011000

Least Common Multiple (LCM) of 7608 and 7625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7608 and 7625. First we will calculate the prime factors of 7608 and 7625.

Prime Factorization of 7608

Prime Factorization of 7625

Now multiplying the highest exponent prime factors to calculate the LCM of 7608 and 7625.

LCM(7608,7625) = 2³ × 3¹ × 317¹ × 5³ × 61¹
LCM(7608,7625) = 58011000