What is the Least Common Multiple of 84768 and 84783?

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 84768 and 84783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84768 and 84783, than apply into the LCM equation.

GCF(84768,84783) = 3
LCM(84768,84783) = ( 84768 × 84783) / 3
LCM(84768,84783) = 7186885344 / 3
LCM(84768,84783) = 2395628448

Least Common Multiple (LCM) of 84768 and 84783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84768 and 84783. First we will calculate the prime factors of 84768 and 84783.

Prime Factorization of 84768

Prime Factorization of 84783

Now multiplying the highest exponent prime factors to calculate the LCM of 84768 and 84783.

LCM(84768,84783) = 2⁵ × 3¹ × 883¹ × 59¹ × 479¹
LCM(84768,84783) = 2395628448