What is the Least Common Multiple of 84408 and 84427?

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 84408 and 84427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84408 and 84427, than apply into the LCM equation.

GCF(84408,84427) = 1
LCM(84408,84427) = ( 84408 × 84427) / 1
LCM(84408,84427) = 7126314216 / 1
LCM(84408,84427) = 7126314216

Least Common Multiple (LCM) of 84408 and 84427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84408 and 84427. First we will calculate the prime factors of 84408 and 84427.

Prime Factorization of 84408

Prime Factorization of 84427

Now multiplying the highest exponent prime factors to calculate the LCM of 84408 and 84427.

LCM(84408,84427) = 2³ × 3¹ × 3517¹ × 7² × 1723¹
LCM(84408,84427) = 7126314216