What is the Least Common Multiple of 78115 and 78125?

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 78115 and 78125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78115 and 78125, than apply into the LCM equation.

GCF(78115,78125) = 5
LCM(78115,78125) = ( 78115 × 78125) / 5
LCM(78115,78125) = 6102734375 / 5
LCM(78115,78125) = 1220546875

Least Common Multiple (LCM) of 78115 and 78125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78115 and 78125. First we will calculate the prime factors of 78115 and 78125.

Prime Factorization of 78115

Prime Factorization of 78125

Now multiplying the highest exponent prime factors to calculate the LCM of 78115 and 78125.

LCM(78115,78125) = 5⁷ × 17¹ × 919¹
LCM(78115,78125) = 1220546875