What is the Least Common Multiple of 84372 and 84378?

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 84372 and 84378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84372 and 84378, than apply into the LCM equation.

GCF(84372,84378) = 6
LCM(84372,84378) = ( 84372 × 84378) / 6
LCM(84372,84378) = 7119140616 / 6
LCM(84372,84378) = 1186523436

Least Common Multiple (LCM) of 84372 and 84378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84372 and 84378. First we will calculate the prime factors of 84372 and 84378.

Prime Factorization of 84372

Prime Factorization of 84378

Now multiplying the highest exponent prime factors to calculate the LCM of 84372 and 84378.

LCM(84372,84378) = 2² × 3¹ × 79¹ × 89¹ × 7³ × 41¹
LCM(84372,84378) = 1186523436