What is the Least Common Multiple of 33750 and 33759?

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 33750 and 33759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33750 and 33759, than apply into the LCM equation.

GCF(33750,33759) = 9
LCM(33750,33759) = ( 33750 × 33759) / 9
LCM(33750,33759) = 1139366250 / 9
LCM(33750,33759) = 126596250

Least Common Multiple (LCM) of 33750 and 33759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33750 and 33759. First we will calculate the prime factors of 33750 and 33759.

Prime Factorization of 33750

Prime Factorization of 33759

Now multiplying the highest exponent prime factors to calculate the LCM of 33750 and 33759.

LCM(33750,33759) = 2¹ × 3³ × 5⁴ × 11² × 31¹
LCM(33750,33759) = 126596250