What is the Least Common Multiple of 79569 and 79582?

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 79569 and 79582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79569 and 79582, than apply into the LCM equation.

GCF(79569,79582) = 1
LCM(79569,79582) = ( 79569 × 79582) / 1
LCM(79569,79582) = 6332260158 / 1
LCM(79569,79582) = 6332260158

Least Common Multiple (LCM) of 79569 and 79582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79569 and 79582. First we will calculate the prime factors of 79569 and 79582.

Prime Factorization of 79569

Prime Factorization of 79582

Now multiplying the highest exponent prime factors to calculate the LCM of 79569 and 79582.

LCM(79569,79582) = 3³ × 7¹ × 421¹ × 2¹ × 39791¹
LCM(79569,79582) = 6332260158