What is the Least Common Multiple of 36596 and 36612?

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 36612 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 36612, than apply into the LCM equation.

GCF(36596,36612) = 4
LCM(36596,36612) = ( 36596 × 36612) / 4
LCM(36596,36612) = 1339852752 / 4
LCM(36596,36612) = 334963188

Least Common Multiple (LCM) of 36596 and 36612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36596 and 36612. First we will calculate the prime factors of 36596 and 36612.

Prime Factorization of 36596

Prime Factorization of 36612

Now multiplying the highest exponent prime factors to calculate the LCM of 36596 and 36612.

LCM(36596,36612) = 2² × 7¹ × 1307¹ × 3⁴ × 113¹
LCM(36596,36612) = 334963188