What is the Least Common Multiple of 56608 and 56626?

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 56626 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 56626, than apply into the LCM equation.

GCF(56608,56626) = 2
LCM(56608,56626) = ( 56608 × 56626) / 2
LCM(56608,56626) = 3205484608 / 2
LCM(56608,56626) = 1602742304

Least Common Multiple (LCM) of 56608 and 56626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56608 and 56626. First we will calculate the prime factors of 56608 and 56626.

Prime Factorization of 56608

Prime Factorization of 56626

Now multiplying the highest exponent prime factors to calculate the LCM of 56608 and 56626.

LCM(56608,56626) = 2⁵ × 29¹ × 61¹ × 23¹ × 1231¹
LCM(56608,56626) = 1602742304