What is the Least Common Multiple of 56608 and 56625?

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 56608 and 56625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56608 and 56625, than apply into the LCM equation.

GCF(56608,56625) = 1
LCM(56608,56625) = ( 56608 × 56625) / 1
LCM(56608,56625) = 3205428000 / 1
LCM(56608,56625) = 3205428000

Least Common Multiple (LCM) of 56608 and 56625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56608 and 56625. First we will calculate the prime factors of 56608 and 56625.

Prime Factorization of 56608

Prime Factorization of 56625

Now multiplying the highest exponent prime factors to calculate the LCM of 56608 and 56625.

LCM(56608,56625) = 2⁵ × 29¹ × 61¹ × 3¹ × 5³ × 151¹
LCM(56608,56625) = 3205428000