What is the Least Common Multiple of 33632 and 33649?

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 33632 and 33649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33632 and 33649, than apply into the LCM equation.

GCF(33632,33649) = 1
LCM(33632,33649) = ( 33632 × 33649) / 1
LCM(33632,33649) = 1131683168 / 1
LCM(33632,33649) = 1131683168

Least Common Multiple (LCM) of 33632 and 33649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33632 and 33649. First we will calculate the prime factors of 33632 and 33649.

Prime Factorization of 33632

Prime Factorization of 33649

Now multiplying the highest exponent prime factors to calculate the LCM of 33632 and 33649.

LCM(33632,33649) = 2⁵ × 1051¹ × 7¹ × 11¹ × 19¹ × 23¹
LCM(33632,33649) = 1131683168