What is the Least Common Multiple of 33628 and 33640?

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 33628 and 33640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33628 and 33640, than apply into the LCM equation.

GCF(33628,33640) = 4
LCM(33628,33640) = ( 33628 × 33640) / 4
LCM(33628,33640) = 1131245920 / 4
LCM(33628,33640) = 282811480

Least Common Multiple (LCM) of 33628 and 33640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33628 and 33640. First we will calculate the prime factors of 33628 and 33640.

Prime Factorization of 33628

Prime Factorization of 33640

Now multiplying the highest exponent prime factors to calculate the LCM of 33628 and 33640.

LCM(33628,33640) = 2³ × 7¹ × 1201¹ × 5¹ × 29²
LCM(33628,33640) = 282811480