What is the Least Common Multiple of 79358 and 79375?

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 79358 and 79375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79358 and 79375, than apply into the LCM equation.

GCF(79358,79375) = 1
LCM(79358,79375) = ( 79358 × 79375) / 1
LCM(79358,79375) = 6299041250 / 1
LCM(79358,79375) = 6299041250

Least Common Multiple (LCM) of 79358 and 79375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79358 and 79375. First we will calculate the prime factors of 79358 and 79375.

Prime Factorization of 79358

Prime Factorization of 79375

Now multiplying the highest exponent prime factors to calculate the LCM of 79358 and 79375.

LCM(79358,79375) = 2¹ × 39679¹ × 5⁴ × 127¹
LCM(79358,79375) = 6299041250