What is the Least Common Multiple of 94824 and 94840?

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 94824 and 94840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94824 and 94840, than apply into the LCM equation.

GCF(94824,94840) = 8
LCM(94824,94840) = ( 94824 × 94840) / 8
LCM(94824,94840) = 8993108160 / 8
LCM(94824,94840) = 1124138520

Least Common Multiple (LCM) of 94824 and 94840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94824 and 94840. First we will calculate the prime factors of 94824 and 94840.

Prime Factorization of 94824

Prime Factorization of 94840

Now multiplying the highest exponent prime factors to calculate the LCM of 94824 and 94840.

LCM(94824,94840) = 2³ × 3³ × 439¹ × 5¹ × 2371¹
LCM(94824,94840) = 1124138520