What is the Least Common Multiple of 33750 and 33770?

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 33770 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 33770, than apply into the LCM equation.

GCF(33750,33770) = 10
LCM(33750,33770) = ( 33750 × 33770) / 10
LCM(33750,33770) = 1139737500 / 10
LCM(33750,33770) = 113973750

Least Common Multiple (LCM) of 33750 and 33770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33750 and 33770. First we will calculate the prime factors of 33750 and 33770.

Prime Factorization of 33750

Prime Factorization of 33770

Now multiplying the highest exponent prime factors to calculate the LCM of 33750 and 33770.

LCM(33750,33770) = 2¹ × 3³ × 5⁴ × 11¹ × 307¹
LCM(33750,33770) = 113973750