What is the Least Common Multiple of 56896 and 56908?

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 56896 and 56908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56896 and 56908, than apply into the LCM equation.

GCF(56896,56908) = 4
LCM(56896,56908) = ( 56896 × 56908) / 4
LCM(56896,56908) = 3237837568 / 4
LCM(56896,56908) = 809459392

Least Common Multiple (LCM) of 56896 and 56908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56896 and 56908. First we will calculate the prime factors of 56896 and 56908.

Prime Factorization of 56896

Prime Factorization of 56908

Now multiplying the highest exponent prime factors to calculate the LCM of 56896 and 56908.

LCM(56896,56908) = 2⁶ × 7¹ × 127¹ × 41¹ × 347¹
LCM(56896,56908) = 809459392