What is the Least Common Multiple of 94880 and 94894?

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 94880 and 94894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94880 and 94894, than apply into the LCM equation.

GCF(94880,94894) = 2
LCM(94880,94894) = ( 94880 × 94894) / 2
LCM(94880,94894) = 9003542720 / 2
LCM(94880,94894) = 4501771360

Least Common Multiple (LCM) of 94880 and 94894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94880 and 94894. First we will calculate the prime factors of 94880 and 94894.

Prime Factorization of 94880

Prime Factorization of 94894

Now multiplying the highest exponent prime factors to calculate the LCM of 94880 and 94894.

LCM(94880,94894) = 2⁵ × 5¹ × 593¹ × 17¹ × 2791¹
LCM(94880,94894) = 4501771360