What is the Least Common Multiple of 79390 and 79405?

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 79390 and 79405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79390 and 79405, than apply into the LCM equation.

GCF(79390,79405) = 5
LCM(79390,79405) = ( 79390 × 79405) / 5
LCM(79390,79405) = 6303962950 / 5
LCM(79390,79405) = 1260792590

Least Common Multiple (LCM) of 79390 and 79405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79390 and 79405. First we will calculate the prime factors of 79390 and 79405.

Prime Factorization of 79390

Prime Factorization of 79405

Now multiplying the highest exponent prime factors to calculate the LCM of 79390 and 79405.

LCM(79390,79405) = 2¹ × 5¹ × 17¹ × 467¹ × 15881¹
LCM(79390,79405) = 1260792590