What is the Least Common Multiple of 29664 and 29682?

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 29682 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 29682, than apply into the LCM equation.

GCF(29664,29682) = 18
LCM(29664,29682) = ( 29664 × 29682) / 18
LCM(29664,29682) = 880486848 / 18
LCM(29664,29682) = 48915936

Least Common Multiple (LCM) of 29664 and 29682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29664 and 29682. First we will calculate the prime factors of 29664 and 29682.

Prime Factorization of 29664

Prime Factorization of 29682

Now multiplying the highest exponent prime factors to calculate the LCM of 29664 and 29682.

LCM(29664,29682) = 2⁵ × 3² × 103¹ × 17¹ × 97¹
LCM(29664,29682) = 48915936