What is the Least Common Multiple of 39596 and 39608?

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 39596 and 39608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39596 and 39608, than apply into the LCM equation.

GCF(39596,39608) = 4
LCM(39596,39608) = ( 39596 × 39608) / 4
LCM(39596,39608) = 1568318368 / 4
LCM(39596,39608) = 392079592

Least Common Multiple (LCM) of 39596 and 39608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39596 and 39608. First we will calculate the prime factors of 39596 and 39608.

Prime Factorization of 39596

Prime Factorization of 39608

Now multiplying the highest exponent prime factors to calculate the LCM of 39596 and 39608.

LCM(39596,39608) = 2³ × 19¹ × 521¹ × 4951¹
LCM(39596,39608) = 392079592