What is the Least Common Multiple of 84768 and 84777?

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 84777 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 84777, than apply into the LCM equation.

GCF(84768,84777) = 3
LCM(84768,84777) = ( 84768 × 84777) / 3
LCM(84768,84777) = 7186376736 / 3
LCM(84768,84777) = 2395458912

Least Common Multiple (LCM) of 84768 and 84777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84768 and 84777. First we will calculate the prime factors of 84768 and 84777.

Prime Factorization of 84768

Prime Factorization of 84777

Now multiplying the highest exponent prime factors to calculate the LCM of 84768 and 84777.

LCM(84768,84777) = 2⁵ × 3¹ × 883¹ × 7¹ × 11¹ × 367¹
LCM(84768,84777) = 2395458912