What is the Least Common Multiple of 84539 and 84544?

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 84539 and 84544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84539 and 84544, than apply into the LCM equation.

GCF(84539,84544) = 1
LCM(84539,84544) = ( 84539 × 84544) / 1
LCM(84539,84544) = 7147265216 / 1
LCM(84539,84544) = 7147265216

Least Common Multiple (LCM) of 84539 and 84544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84539 and 84544. First we will calculate the prime factors of 84539 and 84544.

Prime Factorization of 84539

Prime Factorization of 84544

Now multiplying the highest exponent prime factors to calculate the LCM of 84539 and 84544.

LCM(84539,84544) = 7¹ × 13¹ × 929¹ × 2⁶ × 1321¹
LCM(84539,84544) = 7147265216