What is the Least Common Multiple of 94800 and 94814?

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 94814 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 94814, than apply into the LCM equation.

GCF(94800,94814) = 2
LCM(94800,94814) = ( 94800 × 94814) / 2
LCM(94800,94814) = 8988367200 / 2
LCM(94800,94814) = 4494183600

Least Common Multiple (LCM) of 94800 and 94814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94800 and 94814. First we will calculate the prime factors of 94800 and 94814.

Prime Factorization of 94800

Prime Factorization of 94814

Now multiplying the highest exponent prime factors to calculate the LCM of 94800 and 94814.

LCM(94800,94814) = 2⁴ × 3¹ × 5² × 79¹ × 47407¹
LCM(94800,94814) = 4494183600