What is the Least Common Multiple of 33640 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 33640 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 33640 and 33644, than apply into the LCM equation.

GCF(33640,33644) = 4
LCM(33640,33644) = ( 33640 × 33644) / 4
LCM(33640,33644) = 1131784160 / 4
LCM(33640,33644) = 282946040

Least Common Multiple (LCM) of 33640 and 33644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33640 and 33644. First we will calculate the prime factors of 33640 and 33644.

Prime Factorization of 33640

Prime Factorization of 33644

Now multiplying the highest exponent prime factors to calculate the LCM of 33640 and 33644.

LCM(33640,33644) = 2³ × 5¹ × 29² × 13¹ × 647¹
LCM(33640,33644) = 282946040