What is the Least Common Multiple of 33638 and 33646?

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 33638 and 33646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33638 and 33646, than apply into the LCM equation.

GCF(33638,33646) = 2
LCM(33638,33646) = ( 33638 × 33646) / 2
LCM(33638,33646) = 1131784148 / 2
LCM(33638,33646) = 565892074

Least Common Multiple (LCM) of 33638 and 33646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33638 and 33646. First we will calculate the prime factors of 33638 and 33646.

Prime Factorization of 33638

Prime Factorization of 33646

Now multiplying the highest exponent prime factors to calculate the LCM of 33638 and 33646.

LCM(33638,33646) = 2¹ × 11² × 139¹ × 16823¹
LCM(33638,33646) = 565892074