What is the Least Common Multiple of 84345 and 84350?

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 84345 and 84350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84345 and 84350, than apply into the LCM equation.

GCF(84345,84350) = 5
LCM(84345,84350) = ( 84345 × 84350) / 5
LCM(84345,84350) = 7114500750 / 5
LCM(84345,84350) = 1422900150

Least Common Multiple (LCM) of 84345 and 84350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84345 and 84350. First we will calculate the prime factors of 84345 and 84350.

Prime Factorization of 84345

Prime Factorization of 84350

Now multiplying the highest exponent prime factors to calculate the LCM of 84345 and 84350.

LCM(84345,84350) = 3¹ × 5² × 5623¹ × 2¹ × 7¹ × 241¹
LCM(84345,84350) = 1422900150