What is the Least Common Multiple of 33738 and 33744?

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 33738 and 33744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33738 and 33744, than apply into the LCM equation.

GCF(33738,33744) = 6
LCM(33738,33744) = ( 33738 × 33744) / 6
LCM(33738,33744) = 1138455072 / 6
LCM(33738,33744) = 189742512

Least Common Multiple (LCM) of 33738 and 33744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33738 and 33744. First we will calculate the prime factors of 33738 and 33744.

Prime Factorization of 33738

Prime Factorization of 33744

Now multiplying the highest exponent prime factors to calculate the LCM of 33738 and 33744.

LCM(33738,33744) = 2⁴ × 3¹ × 5623¹ × 19¹ × 37¹
LCM(33738,33744) = 189742512