What is the Least Common Multiple of 84240 and 84256?

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 84240 and 84256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84240 and 84256, than apply into the LCM equation.

GCF(84240,84256) = 16
LCM(84240,84256) = ( 84240 × 84256) / 16
LCM(84240,84256) = 7097725440 / 16
LCM(84240,84256) = 443607840

Least Common Multiple (LCM) of 84240 and 84256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84240 and 84256. First we will calculate the prime factors of 84240 and 84256.

Prime Factorization of 84240

Prime Factorization of 84256

Now multiplying the highest exponent prime factors to calculate the LCM of 84240 and 84256.

LCM(84240,84256) = 2⁵ × 3⁴ × 5¹ × 13¹ × 2633¹
LCM(84240,84256) = 443607840