What is the Least Common Multiple of 31930 and 31948?

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 31930 and 31948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31930 and 31948, than apply into the LCM equation.

GCF(31930,31948) = 2
LCM(31930,31948) = ( 31930 × 31948) / 2
LCM(31930,31948) = 1020099640 / 2
LCM(31930,31948) = 510049820

Least Common Multiple (LCM) of 31930 and 31948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31930 and 31948. First we will calculate the prime factors of 31930 and 31948.

Prime Factorization of 31930

Prime Factorization of 31948

Now multiplying the highest exponent prime factors to calculate the LCM of 31930 and 31948.

LCM(31930,31948) = 2² × 5¹ × 31¹ × 103¹ × 7² × 163¹
LCM(31930,31948) = 510049820