What is the Least Common Multiple of 36312 and 36320?

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 36312 and 36320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36312 and 36320, than apply into the LCM equation.

GCF(36312,36320) = 8
LCM(36312,36320) = ( 36312 × 36320) / 8
LCM(36312,36320) = 1318851840 / 8
LCM(36312,36320) = 164856480

Least Common Multiple (LCM) of 36312 and 36320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36312 and 36320. First we will calculate the prime factors of 36312 and 36320.

Prime Factorization of 36312

Prime Factorization of 36320

Now multiplying the highest exponent prime factors to calculate the LCM of 36312 and 36320.

LCM(36312,36320) = 2⁵ × 3¹ × 17¹ × 89¹ × 5¹ × 227¹
LCM(36312,36320) = 164856480