What is the Least Common Multiple of 79380 and 79399?

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 79380 and 79399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79380 and 79399, than apply into the LCM equation.

GCF(79380,79399) = 1
LCM(79380,79399) = ( 79380 × 79399) / 1
LCM(79380,79399) = 6302692620 / 1
LCM(79380,79399) = 6302692620

Least Common Multiple (LCM) of 79380 and 79399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79380 and 79399. First we will calculate the prime factors of 79380 and 79399.

Prime Factorization of 79380

Prime Factorization of 79399

Now multiplying the highest exponent prime factors to calculate the LCM of 79380 and 79399.

LCM(79380,79399) = 2² × 3⁴ × 5¹ × 7² × 79399¹
LCM(79380,79399) = 6302692620