What is the Least Common Multiple of 94880 and 94893?

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 94893 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 94893, than apply into the LCM equation.

GCF(94880,94893) = 1
LCM(94880,94893) = ( 94880 × 94893) / 1
LCM(94880,94893) = 9003447840 / 1
LCM(94880,94893) = 9003447840

Least Common Multiple (LCM) of 94880 and 94893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94880 and 94893. First we will calculate the prime factors of 94880 and 94893.

Prime Factorization of 94880

Prime Factorization of 94893

Now multiplying the highest exponent prime factors to calculate the LCM of 94880 and 94893.

LCM(94880,94893) = 2⁵ × 5¹ × 593¹ × 3¹ × 47¹ × 673¹
LCM(94880,94893) = 9003447840