What is the Least Common Multiple of 56608 and 56616?

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 56616 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 56616, than apply into the LCM equation.

GCF(56608,56616) = 8
LCM(56608,56616) = ( 56608 × 56616) / 8
LCM(56608,56616) = 3204918528 / 8
LCM(56608,56616) = 400614816

Least Common Multiple (LCM) of 56608 and 56616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56608 and 56616. First we will calculate the prime factors of 56608 and 56616.

Prime Factorization of 56608

Prime Factorization of 56616

Now multiplying the highest exponent prime factors to calculate the LCM of 56608 and 56616.

LCM(56608,56616) = 2⁵ × 29¹ × 61¹ × 3¹ × 7¹ × 337¹
LCM(56608,56616) = 400614816