What is the Least Common Multiple of 3537 and 3555?

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 3537 and 3555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3537 and 3555, than apply into the LCM equation.

GCF(3537,3555) = 9
LCM(3537,3555) = ( 3537 × 3555) / 9
LCM(3537,3555) = 12574035 / 9
LCM(3537,3555) = 1397115

Least Common Multiple (LCM) of 3537 and 3555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3537 and 3555. First we will calculate the prime factors of 3537 and 3555.

Prime Factorization of 3537

Prime Factorization of 3555

Now multiplying the highest exponent prime factors to calculate the LCM of 3537 and 3555.

LCM(3537,3555) = 3³ × 131¹ × 5¹ × 79¹
LCM(3537,3555) = 1397115