What is the Least Common Multiple of 79026 and 79041?

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 79026 and 79041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79026 and 79041, than apply into the LCM equation.

GCF(79026,79041) = 3
LCM(79026,79041) = ( 79026 × 79041) / 3
LCM(79026,79041) = 6246294066 / 3
LCM(79026,79041) = 2082098022

Least Common Multiple (LCM) of 79026 and 79041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79026 and 79041. First we will calculate the prime factors of 79026 and 79041.

Prime Factorization of 79026

Prime Factorization of 79041

Now multiplying the highest exponent prime factors to calculate the LCM of 79026 and 79041.

LCM(79026,79041) = 2¹ × 3¹ × 13171¹ × 26347¹
LCM(79026,79041) = 2082098022