What is the Least Common Multiple of 84143 and 84149?

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 84143 and 84149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84143 and 84149, than apply into the LCM equation.

GCF(84143,84149) = 1
LCM(84143,84149) = ( 84143 × 84149) / 1
LCM(84143,84149) = 7080549307 / 1
LCM(84143,84149) = 7080549307

Least Common Multiple (LCM) of 84143 and 84149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84143 and 84149. First we will calculate the prime factors of 84143 and 84149.

Prime Factorization of 84143

Prime Factorization of 84149

Now multiplying the highest exponent prime factors to calculate the LCM of 84143 and 84149.

LCM(84143,84149) = 84143¹ × 13¹ × 6473¹
LCM(84143,84149) = 7080549307