What is the Least Common Multiple of 36320 and 36335?

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 36320 and 36335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36320 and 36335, than apply into the LCM equation.

GCF(36320,36335) = 5
LCM(36320,36335) = ( 36320 × 36335) / 5
LCM(36320,36335) = 1319687200 / 5
LCM(36320,36335) = 263937440

Least Common Multiple (LCM) of 36320 and 36335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36320 and 36335. First we will calculate the prime factors of 36320 and 36335.

Prime Factorization of 36320

Prime Factorization of 36335

Now multiplying the highest exponent prime factors to calculate the LCM of 36320 and 36335.

LCM(36320,36335) = 2⁵ × 5¹ × 227¹ × 13² × 43¹
LCM(36320,36335) = 263937440