What is the Least Common Multiple of 78345 and 78350?

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 78345 and 78350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78345 and 78350, than apply into the LCM equation.

GCF(78345,78350) = 5
LCM(78345,78350) = ( 78345 × 78350) / 5
LCM(78345,78350) = 6138330750 / 5
LCM(78345,78350) = 1227666150

Least Common Multiple (LCM) of 78345 and 78350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78345 and 78350. First we will calculate the prime factors of 78345 and 78350.

Prime Factorization of 78345

Prime Factorization of 78350

Now multiplying the highest exponent prime factors to calculate the LCM of 78345 and 78350.

LCM(78345,78350) = 3² × 5² × 1741¹ × 2¹ × 1567¹
LCM(78345,78350) = 1227666150