What is the Least Common Multiple of 84513 and 84521?

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 84513 and 84521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84513 and 84521, than apply into the LCM equation.

GCF(84513,84521) = 1
LCM(84513,84521) = ( 84513 × 84521) / 1
LCM(84513,84521) = 7143123273 / 1
LCM(84513,84521) = 7143123273

Least Common Multiple (LCM) of 84513 and 84521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84513 and 84521. First we will calculate the prime factors of 84513 and 84521.

Prime Factorization of 84513

Prime Factorization of 84521

Now multiplying the highest exponent prime factors to calculate the LCM of 84513 and 84521.

LCM(84513,84521) = 3¹ × 11¹ × 13¹ × 197¹ × 84521¹
LCM(84513,84521) = 7143123273