What is the Least Common Multiple of 31530 and 31545?

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 31530 and 31545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31530 and 31545, than apply into the LCM equation.

GCF(31530,31545) = 15
LCM(31530,31545) = ( 31530 × 31545) / 15
LCM(31530,31545) = 994613850 / 15
LCM(31530,31545) = 66307590

Least Common Multiple (LCM) of 31530 and 31545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31530 and 31545. First we will calculate the prime factors of 31530 and 31545.

Prime Factorization of 31530

Prime Factorization of 31545

Now multiplying the highest exponent prime factors to calculate the LCM of 31530 and 31545.

LCM(31530,31545) = 2¹ × 3² × 5¹ × 1051¹ × 701¹
LCM(31530,31545) = 66307590