What is the Least Common Multiple of 78125 and 78145?

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 78125 and 78145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78125 and 78145, than apply into the LCM equation.

GCF(78125,78145) = 5
LCM(78125,78145) = ( 78125 × 78145) / 5
LCM(78125,78145) = 6105078125 / 5
LCM(78125,78145) = 1221015625

Least Common Multiple (LCM) of 78125 and 78145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78125 and 78145. First we will calculate the prime factors of 78125 and 78145.

Prime Factorization of 78125

Prime Factorization of 78145

Now multiplying the highest exponent prime factors to calculate the LCM of 78125 and 78145.

LCM(78125,78145) = 5⁷ × 15629¹
LCM(78125,78145) = 1221015625