What is the Least Common Multiple of 36645 and 36665?

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 36645 and 36665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36645 and 36665, than apply into the LCM equation.

GCF(36645,36665) = 5
LCM(36645,36665) = ( 36645 × 36665) / 5
LCM(36645,36665) = 1343588925 / 5
LCM(36645,36665) = 268717785

Least Common Multiple (LCM) of 36645 and 36665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36645 and 36665. First we will calculate the prime factors of 36645 and 36665.

Prime Factorization of 36645

Prime Factorization of 36665

Now multiplying the highest exponent prime factors to calculate the LCM of 36645 and 36665.

LCM(36645,36665) = 3¹ × 5¹ × 7¹ × 349¹ × 7333¹
LCM(36645,36665) = 268717785