What is the Least Common Multiple of 33636 and 33644?

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 33636 and 33644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33636 and 33644, than apply into the LCM equation.

GCF(33636,33644) = 4
LCM(33636,33644) = ( 33636 × 33644) / 4
LCM(33636,33644) = 1131649584 / 4
LCM(33636,33644) = 282912396

Least Common Multiple (LCM) of 33636 and 33644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33636 and 33644. First we will calculate the prime factors of 33636 and 33644.

Prime Factorization of 33636

Prime Factorization of 33644

Now multiplying the highest exponent prime factors to calculate the LCM of 33636 and 33644.

LCM(33636,33644) = 2² × 3¹ × 2803¹ × 13¹ × 647¹
LCM(33636,33644) = 282912396