What is the Least Common Multiple of 79375 and 79379?

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 79375 and 79379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79375 and 79379, than apply into the LCM equation.

GCF(79375,79379) = 1
LCM(79375,79379) = ( 79375 × 79379) / 1
LCM(79375,79379) = 6300708125 / 1
LCM(79375,79379) = 6300708125

Least Common Multiple (LCM) of 79375 and 79379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79375 and 79379. First we will calculate the prime factors of 79375 and 79379.

Prime Factorization of 79375

Prime Factorization of 79379

Now multiplying the highest exponent prime factors to calculate the LCM of 79375 and 79379.

LCM(79375,79379) = 5⁴ × 127¹ × 79379¹
LCM(79375,79379) = 6300708125