What is the Least Common Multiple of 94431 and 94449?

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 94431 and 94449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94431 and 94449, than apply into the LCM equation.

GCF(94431,94449) = 3
LCM(94431,94449) = ( 94431 × 94449) / 3
LCM(94431,94449) = 8918913519 / 3
LCM(94431,94449) = 2972971173

Least Common Multiple (LCM) of 94431 and 94449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94431 and 94449. First we will calculate the prime factors of 94431 and 94449.

Prime Factorization of 94431

Prime Factorization of 94449

Now multiplying the highest exponent prime factors to calculate the LCM of 94431 and 94449.

LCM(94431,94449) = 3¹ × 31477¹ × 19¹ × 1657¹
LCM(94431,94449) = 2972971173