What is the Least Common Multiple of 94360 and 94378?

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 94360 and 94378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94360 and 94378, than apply into the LCM equation.

GCF(94360,94378) = 2
LCM(94360,94378) = ( 94360 × 94378) / 2
LCM(94360,94378) = 8905508080 / 2
LCM(94360,94378) = 4452754040

Least Common Multiple (LCM) of 94360 and 94378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94360 and 94378. First we will calculate the prime factors of 94360 and 94378.

Prime Factorization of 94360

Prime Factorization of 94378

Now multiplying the highest exponent prime factors to calculate the LCM of 94360 and 94378.

LCM(94360,94378) = 2³ × 5¹ × 7¹ × 337¹ × 47189¹
LCM(94360,94378) = 4452754040