What is the Least Common Multiple of 84509 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 84509 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 84509 and 84521, than apply into the LCM equation.

GCF(84509,84521) = 1
LCM(84509,84521) = ( 84509 × 84521) / 1
LCM(84509,84521) = 7142785189 / 1
LCM(84509,84521) = 7142785189

Least Common Multiple (LCM) of 84509 and 84521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84509 and 84521. First we will calculate the prime factors of 84509 and 84521.

Prime Factorization of 84509

Prime Factorization of 84521

Now multiplying the highest exponent prime factors to calculate the LCM of 84509 and 84521.

LCM(84509,84521) = 84509¹ × 84521¹
LCM(84509,84521) = 7142785189