What is the Least Common Multiple of 82590 and 82596?

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 82590 and 82596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82590 and 82596, than apply into the LCM equation.

GCF(82590,82596) = 6
LCM(82590,82596) = ( 82590 × 82596) / 6
LCM(82590,82596) = 6821603640 / 6
LCM(82590,82596) = 1136933940

Least Common Multiple (LCM) of 82590 and 82596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82590 and 82596. First we will calculate the prime factors of 82590 and 82596.

Prime Factorization of 82590

Prime Factorization of 82596

Now multiplying the highest exponent prime factors to calculate the LCM of 82590 and 82596.

LCM(82590,82596) = 2² × 3¹ × 5¹ × 2753¹ × 6883¹
LCM(82590,82596) = 1136933940