What is the Least Common Multiple of 36596 and 36616?

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 36596 and 36616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36596 and 36616, than apply into the LCM equation.

GCF(36596,36616) = 4
LCM(36596,36616) = ( 36596 × 36616) / 4
LCM(36596,36616) = 1339999136 / 4
LCM(36596,36616) = 334999784

Least Common Multiple (LCM) of 36596 and 36616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36596 and 36616. First we will calculate the prime factors of 36596 and 36616.

Prime Factorization of 36596

Prime Factorization of 36616

Now multiplying the highest exponent prime factors to calculate the LCM of 36596 and 36616.

LCM(36596,36616) = 2³ × 7¹ × 1307¹ × 23¹ × 199¹
LCM(36596,36616) = 334999784