What is the Least Common Multiple of 84768 and 84772?

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 84772 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 84772, than apply into the LCM equation.

GCF(84768,84772) = 4
LCM(84768,84772) = ( 84768 × 84772) / 4
LCM(84768,84772) = 7185952896 / 4
LCM(84768,84772) = 1796488224

Least Common Multiple (LCM) of 84768 and 84772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84768 and 84772. First we will calculate the prime factors of 84768 and 84772.

Prime Factorization of 84768

Prime Factorization of 84772

Now multiplying the highest exponent prime factors to calculate the LCM of 84768 and 84772.

LCM(84768,84772) = 2⁵ × 3¹ × 883¹ × 21193¹
LCM(84768,84772) = 1796488224