What is the Least Common Multiple of 82920 and 82938?

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 82920 and 82938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82920 and 82938, than apply into the LCM equation.

GCF(82920,82938) = 6
LCM(82920,82938) = ( 82920 × 82938) / 6
LCM(82920,82938) = 6877218960 / 6
LCM(82920,82938) = 1146203160

Least Common Multiple (LCM) of 82920 and 82938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82920 and 82938. First we will calculate the prime factors of 82920 and 82938.

Prime Factorization of 82920

Prime Factorization of 82938

Now multiplying the highest exponent prime factors to calculate the LCM of 82920 and 82938.

LCM(82920,82938) = 2³ × 3¹ × 5¹ × 691¹ × 23¹ × 601¹
LCM(82920,82938) = 1146203160