What is the Least Common Multiple of 31915 and 31928?

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 31915 and 31928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31915 and 31928, than apply into the LCM equation.

GCF(31915,31928) = 13
LCM(31915,31928) = ( 31915 × 31928) / 13
LCM(31915,31928) = 1018982120 / 13
LCM(31915,31928) = 78383240

Least Common Multiple (LCM) of 31915 and 31928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31915 and 31928. First we will calculate the prime factors of 31915 and 31928.

Prime Factorization of 31915

Prime Factorization of 31928

Now multiplying the highest exponent prime factors to calculate the LCM of 31915 and 31928.

LCM(31915,31928) = 5¹ × 13¹ × 491¹ × 2³ × 307¹
LCM(31915,31928) = 78383240