What is the Least Common Multiple of 30918 and 30937?

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 30918 and 30937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30918 and 30937, than apply into the LCM equation.

GCF(30918,30937) = 1
LCM(30918,30937) = ( 30918 × 30937) / 1
LCM(30918,30937) = 956510166 / 1
LCM(30918,30937) = 956510166

Least Common Multiple (LCM) of 30918 and 30937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30918 and 30937. First we will calculate the prime factors of 30918 and 30937.

Prime Factorization of 30918

Prime Factorization of 30937

Now multiplying the highest exponent prime factors to calculate the LCM of 30918 and 30937.

LCM(30918,30937) = 2¹ × 3¹ × 5153¹ × 30937¹
LCM(30918,30937) = 956510166