What is the Least Common Multiple of 33664 and 33676?

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 33664 and 33676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33664 and 33676, than apply into the LCM equation.

GCF(33664,33676) = 4
LCM(33664,33676) = ( 33664 × 33676) / 4
LCM(33664,33676) = 1133668864 / 4
LCM(33664,33676) = 283417216

Least Common Multiple (LCM) of 33664 and 33676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33664 and 33676. First we will calculate the prime factors of 33664 and 33676.

Prime Factorization of 33664

Prime Factorization of 33676

Now multiplying the highest exponent prime factors to calculate the LCM of 33664 and 33676.

LCM(33664,33676) = 2⁷ × 263¹ × 8419¹
LCM(33664,33676) = 283417216