What is the Least Common Multiple of 36540 and 36555?

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 36540 and 36555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36540 and 36555, than apply into the LCM equation.

GCF(36540,36555) = 15
LCM(36540,36555) = ( 36540 × 36555) / 15
LCM(36540,36555) = 1335719700 / 15
LCM(36540,36555) = 89047980

Least Common Multiple (LCM) of 36540 and 36555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36540 and 36555. First we will calculate the prime factors of 36540 and 36555.

Prime Factorization of 36540

Prime Factorization of 36555

Now multiplying the highest exponent prime factors to calculate the LCM of 36540 and 36555.

LCM(36540,36555) = 2² × 3² × 5¹ × 7¹ × 29¹ × 2437¹
LCM(36540,36555) = 89047980