What is the Least Common Multiple of 94464 and 94470?

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 94464 and 94470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94464 and 94470, than apply into the LCM equation.

GCF(94464,94470) = 6
LCM(94464,94470) = ( 94464 × 94470) / 6
LCM(94464,94470) = 8924014080 / 6
LCM(94464,94470) = 1487335680

Least Common Multiple (LCM) of 94464 and 94470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94464 and 94470. First we will calculate the prime factors of 94464 and 94470.

Prime Factorization of 94464

Prime Factorization of 94470

Now multiplying the highest exponent prime factors to calculate the LCM of 94464 and 94470.

LCM(94464,94470) = 2⁸ × 3² × 41¹ × 5¹ × 47¹ × 67¹
LCM(94464,94470) = 1487335680