What is the Least Common Multiple of 31545 and 31555?

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 31545 and 31555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31545 and 31555, than apply into the LCM equation.

GCF(31545,31555) = 5
LCM(31545,31555) = ( 31545 × 31555) / 5
LCM(31545,31555) = 995402475 / 5
LCM(31545,31555) = 199080495

Least Common Multiple (LCM) of 31545 and 31555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31545 and 31555. First we will calculate the prime factors of 31545 and 31555.

Prime Factorization of 31545

Prime Factorization of 31555

Now multiplying the highest exponent prime factors to calculate the LCM of 31545 and 31555.

LCM(31545,31555) = 3² × 5¹ × 701¹ × 6311¹
LCM(31545,31555) = 199080495