What is the Least Common Multiple of 36342 and 36356?

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 36342 and 36356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36342 and 36356, than apply into the LCM equation.

GCF(36342,36356) = 2
LCM(36342,36356) = ( 36342 × 36356) / 2
LCM(36342,36356) = 1321249752 / 2
LCM(36342,36356) = 660624876

Least Common Multiple (LCM) of 36342 and 36356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36342 and 36356. First we will calculate the prime factors of 36342 and 36356.

Prime Factorization of 36342

Prime Factorization of 36356

Now multiplying the highest exponent prime factors to calculate the LCM of 36342 and 36356.

LCM(36342,36356) = 2² × 3³ × 673¹ × 61¹ × 149¹
LCM(36342,36356) = 660624876