What is the Least Common Multiple of 33516 and 33523?

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 33516 and 33523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33516 and 33523, than apply into the LCM equation.

GCF(33516,33523) = 7
LCM(33516,33523) = ( 33516 × 33523) / 7
LCM(33516,33523) = 1123556868 / 7
LCM(33516,33523) = 160508124

Least Common Multiple (LCM) of 33516 and 33523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33516 and 33523. First we will calculate the prime factors of 33516 and 33523.

Prime Factorization of 33516

Prime Factorization of 33523

Now multiplying the highest exponent prime factors to calculate the LCM of 33516 and 33523.

LCM(33516,33523) = 2² × 3² × 7² × 19¹ × 4789¹
LCM(33516,33523) = 160508124