What is the Least Common Multiple of 79580 and 79598?

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 79580 and 79598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79580 and 79598, than apply into the LCM equation.

GCF(79580,79598) = 2
LCM(79580,79598) = ( 79580 × 79598) / 2
LCM(79580,79598) = 6334408840 / 2
LCM(79580,79598) = 3167204420

Least Common Multiple (LCM) of 79580 and 79598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79580 and 79598. First we will calculate the prime factors of 79580 and 79598.

Prime Factorization of 79580

Prime Factorization of 79598

Now multiplying the highest exponent prime factors to calculate the LCM of 79580 and 79598.

LCM(79580,79598) = 2² × 5¹ × 23¹ × 173¹ × 39799¹
LCM(79580,79598) = 3167204420