What is the Least Common Multiple of 33654 and 33664?

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 33654 and 33664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33654 and 33664, than apply into the LCM equation.

GCF(33654,33664) = 2
LCM(33654,33664) = ( 33654 × 33664) / 2
LCM(33654,33664) = 1132928256 / 2
LCM(33654,33664) = 566464128

Least Common Multiple (LCM) of 33654 and 33664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33654 and 33664. First we will calculate the prime factors of 33654 and 33664.

Prime Factorization of 33654

Prime Factorization of 33664

Now multiplying the highest exponent prime factors to calculate the LCM of 33654 and 33664.

LCM(33654,33664) = 2⁷ × 3¹ × 71¹ × 79¹ × 263¹
LCM(33654,33664) = 566464128