What is the Least Common Multiple of 84783 and 84800?

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 84783 and 84800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84783 and 84800, than apply into the LCM equation.

GCF(84783,84800) = 1
LCM(84783,84800) = ( 84783 × 84800) / 1
LCM(84783,84800) = 7189598400 / 1
LCM(84783,84800) = 7189598400

Least Common Multiple (LCM) of 84783 and 84800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84783 and 84800. First we will calculate the prime factors of 84783 and 84800.

Prime Factorization of 84783

Prime Factorization of 84800

Now multiplying the highest exponent prime factors to calculate the LCM of 84783 and 84800.

LCM(84783,84800) = 3¹ × 59¹ × 479¹ × 2⁶ × 5² × 53¹
LCM(84783,84800) = 7189598400