What is the Least Common Multiple of 94419 and 94433?

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 94419 and 94433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94419 and 94433, than apply into the LCM equation.

GCF(94419,94433) = 1
LCM(94419,94433) = ( 94419 × 94433) / 1
LCM(94419,94433) = 8916269427 / 1
LCM(94419,94433) = 8916269427

Least Common Multiple (LCM) of 94419 and 94433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94419 and 94433. First we will calculate the prime factors of 94419 and 94433.

Prime Factorization of 94419

Prime Factorization of 94433

Now multiplying the highest exponent prime factors to calculate the LCM of 94419 and 94433.

LCM(94419,94433) = 3³ × 13¹ × 269¹ × 94433¹
LCM(94419,94433) = 8916269427