What is the Least Common Multiple of 36555 and 36560?

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 36555 and 36560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36555 and 36560, than apply into the LCM equation.

GCF(36555,36560) = 5
LCM(36555,36560) = ( 36555 × 36560) / 5
LCM(36555,36560) = 1336450800 / 5
LCM(36555,36560) = 267290160

Least Common Multiple (LCM) of 36555 and 36560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36555 and 36560. First we will calculate the prime factors of 36555 and 36560.

Prime Factorization of 36555

Prime Factorization of 36560

Now multiplying the highest exponent prime factors to calculate the LCM of 36555 and 36560.

LCM(36555,36560) = 3¹ × 5¹ × 2437¹ × 2⁴ × 457¹
LCM(36555,36560) = 267290160