What is the Least Common Multiple of 29664 and 29678?

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 29664 and 29678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29664 and 29678, than apply into the LCM equation.

GCF(29664,29678) = 2
LCM(29664,29678) = ( 29664 × 29678) / 2
LCM(29664,29678) = 880368192 / 2
LCM(29664,29678) = 440184096

Least Common Multiple (LCM) of 29664 and 29678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29664 and 29678. First we will calculate the prime factors of 29664 and 29678.

Prime Factorization of 29664

Prime Factorization of 29678

Now multiplying the highest exponent prime factors to calculate the LCM of 29664 and 29678.

LCM(29664,29678) = 2⁵ × 3² × 103¹ × 11¹ × 19¹ × 71¹
LCM(29664,29678) = 440184096