What is the Least Common Multiple of 56588 and 56608?

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 56588 and 56608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56588 and 56608, than apply into the LCM equation.

GCF(56588,56608) = 4
LCM(56588,56608) = ( 56588 × 56608) / 4
LCM(56588,56608) = 3203333504 / 4
LCM(56588,56608) = 800833376

Least Common Multiple (LCM) of 56588 and 56608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56588 and 56608. First we will calculate the prime factors of 56588 and 56608.

Prime Factorization of 56588

Prime Factorization of 56608

Now multiplying the highest exponent prime factors to calculate the LCM of 56588 and 56608.

LCM(56588,56608) = 2⁵ × 7¹ × 43¹ × 47¹ × 29¹ × 61¹
LCM(56588,56608) = 800833376