What is the Least Common Multiple of 33723 and 33730?

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 33723 and 33730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33723 and 33730, than apply into the LCM equation.

GCF(33723,33730) = 1
LCM(33723,33730) = ( 33723 × 33730) / 1
LCM(33723,33730) = 1137476790 / 1
LCM(33723,33730) = 1137476790

Least Common Multiple (LCM) of 33723 and 33730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33723 and 33730. First we will calculate the prime factors of 33723 and 33730.

Prime Factorization of 33723

Prime Factorization of 33730

Now multiplying the highest exponent prime factors to calculate the LCM of 33723 and 33730.

LCM(33723,33730) = 3³ × 1249¹ × 2¹ × 5¹ × 3373¹
LCM(33723,33730) = 1137476790