What is the Least Common Multiple of 59588 and 59596?

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 59588 and 59596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59588 and 59596, than apply into the LCM equation.

GCF(59588,59596) = 4
LCM(59588,59596) = ( 59588 × 59596) / 4
LCM(59588,59596) = 3551206448 / 4
LCM(59588,59596) = 887801612

Least Common Multiple (LCM) of 59588 and 59596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59588 and 59596. First we will calculate the prime factors of 59588 and 59596.

Prime Factorization of 59588

Prime Factorization of 59596

Now multiplying the highest exponent prime factors to calculate the LCM of 59588 and 59596.

LCM(59588,59596) = 2² × 14897¹ × 47¹ × 317¹
LCM(59588,59596) = 887801612