What is the Least Common Multiple of 38775 and 38784?

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 38775 and 38784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38775 and 38784, than apply into the LCM equation.

GCF(38775,38784) = 3
LCM(38775,38784) = ( 38775 × 38784) / 3
LCM(38775,38784) = 1503849600 / 3
LCM(38775,38784) = 501283200

Least Common Multiple (LCM) of 38775 and 38784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38775 and 38784. First we will calculate the prime factors of 38775 and 38784.

Prime Factorization of 38775

Prime Factorization of 38784

Now multiplying the highest exponent prime factors to calculate the LCM of 38775 and 38784.

LCM(38775,38784) = 3¹ × 5² × 11¹ × 47¹ × 2⁷ × 101¹
LCM(38775,38784) = 501283200