What is the Least Common Multiple of 94432 and 94451?

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 94432 and 94451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94432 and 94451, than apply into the LCM equation.

GCF(94432,94451) = 1
LCM(94432,94451) = ( 94432 × 94451) / 1
LCM(94432,94451) = 8919196832 / 1
LCM(94432,94451) = 8919196832

Least Common Multiple (LCM) of 94432 and 94451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94432 and 94451. First we will calculate the prime factors of 94432 and 94451.

Prime Factorization of 94432

Prime Factorization of 94451

Now multiplying the highest exponent prime factors to calculate the LCM of 94432 and 94451.

LCM(94432,94451) = 2⁵ × 13¹ × 227¹ × 7¹ × 103¹ × 131¹
LCM(94432,94451) = 8919196832