What is the Least Common Multiple of 31509 and 31528?

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 31509 and 31528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31509 and 31528, than apply into the LCM equation.

GCF(31509,31528) = 1
LCM(31509,31528) = ( 31509 × 31528) / 1
LCM(31509,31528) = 993415752 / 1
LCM(31509,31528) = 993415752

Least Common Multiple (LCM) of 31509 and 31528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31509 and 31528. First we will calculate the prime factors of 31509 and 31528.

Prime Factorization of 31509

Prime Factorization of 31528

Now multiplying the highest exponent prime factors to calculate the LCM of 31509 and 31528.

LCM(31509,31528) = 3⁴ × 389¹ × 2³ × 7¹ × 563¹
LCM(31509,31528) = 993415752