What is the Least Common Multiple of 83775 and 83784?

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 83775 and 83784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83775 and 83784, than apply into the LCM equation.

GCF(83775,83784) = 3
LCM(83775,83784) = ( 83775 × 83784) / 3
LCM(83775,83784) = 7019004600 / 3
LCM(83775,83784) = 2339668200

Least Common Multiple (LCM) of 83775 and 83784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83775 and 83784. First we will calculate the prime factors of 83775 and 83784.

Prime Factorization of 83775

Prime Factorization of 83784

Now multiplying the highest exponent prime factors to calculate the LCM of 83775 and 83784.

LCM(83775,83784) = 3¹ × 5² × 1117¹ × 2³ × 3491¹
LCM(83775,83784) = 2339668200