What is the Least Common Multiple of 33516 and 33536?

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 33536 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 33536, than apply into the LCM equation.

GCF(33516,33536) = 4
LCM(33516,33536) = ( 33516 × 33536) / 4
LCM(33516,33536) = 1123992576 / 4
LCM(33516,33536) = 280998144

Least Common Multiple (LCM) of 33516 and 33536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33516 and 33536. First we will calculate the prime factors of 33516 and 33536.

Prime Factorization of 33516

Prime Factorization of 33536

Now multiplying the highest exponent prime factors to calculate the LCM of 33516 and 33536.

LCM(33516,33536) = 2⁸ × 3² × 7² × 19¹ × 131¹
LCM(33516,33536) = 280998144