What is the Least Common Multiple of 84575 and 84587?

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 84575 and 84587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84575 and 84587, than apply into the LCM equation.

GCF(84575,84587) = 1
LCM(84575,84587) = ( 84575 × 84587) / 1
LCM(84575,84587) = 7153945525 / 1
LCM(84575,84587) = 7153945525

Least Common Multiple (LCM) of 84575 and 84587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84575 and 84587. First we will calculate the prime factors of 84575 and 84587.

Prime Factorization of 84575

Prime Factorization of 84587

Now multiplying the highest exponent prime factors to calculate the LCM of 84575 and 84587.

LCM(84575,84587) = 5² × 17¹ × 199¹ × 251¹ × 337¹
LCM(84575,84587) = 7153945525