What is the Least Common Multiple of 94800 and 94807?

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 94800 and 94807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94800 and 94807, than apply into the LCM equation.

GCF(94800,94807) = 1
LCM(94800,94807) = ( 94800 × 94807) / 1
LCM(94800,94807) = 8987703600 / 1
LCM(94800,94807) = 8987703600

Least Common Multiple (LCM) of 94800 and 94807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94800 and 94807. First we will calculate the prime factors of 94800 and 94807.

Prime Factorization of 94800

Prime Factorization of 94807

Now multiplying the highest exponent prime factors to calculate the LCM of 94800 and 94807.

LCM(94800,94807) = 2⁴ × 3¹ × 5² × 79¹ × 113¹ × 839¹
LCM(94800,94807) = 8987703600