What is the Least Common Multiple of 84274 and 84288?

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 84274 and 84288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84274 and 84288, than apply into the LCM equation.

GCF(84274,84288) = 2
LCM(84274,84288) = ( 84274 × 84288) / 2
LCM(84274,84288) = 7103286912 / 2
LCM(84274,84288) = 3551643456

Least Common Multiple (LCM) of 84274 and 84288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84274 and 84288. First we will calculate the prime factors of 84274 and 84288.

Prime Factorization of 84274

Prime Factorization of 84288

Now multiplying the highest exponent prime factors to calculate the LCM of 84274 and 84288.

LCM(84274,84288) = 2⁶ × 29¹ × 1453¹ × 3¹ × 439¹
LCM(84274,84288) = 3551643456