What is the Least Common Multiple of 39588 and 39596?

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 39588 and 39596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39588 and 39596, than apply into the LCM equation.

GCF(39588,39596) = 4
LCM(39588,39596) = ( 39588 × 39596) / 4
LCM(39588,39596) = 1567526448 / 4
LCM(39588,39596) = 391881612

Least Common Multiple (LCM) of 39588 and 39596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39588 and 39596. First we will calculate the prime factors of 39588 and 39596.

Prime Factorization of 39588

Prime Factorization of 39596

Now multiplying the highest exponent prime factors to calculate the LCM of 39588 and 39596.

LCM(39588,39596) = 2² × 3¹ × 3299¹ × 19¹ × 521¹
LCM(39588,39596) = 391881612