What is the Least Common Multiple of 84686 and 84700?

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 84686 and 84700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84686 and 84700, than apply into the LCM equation.

GCF(84686,84700) = 14
LCM(84686,84700) = ( 84686 × 84700) / 14
LCM(84686,84700) = 7172904200 / 14
LCM(84686,84700) = 512350300

Least Common Multiple (LCM) of 84686 and 84700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84686 and 84700. First we will calculate the prime factors of 84686 and 84700.

Prime Factorization of 84686

Prime Factorization of 84700

Now multiplying the highest exponent prime factors to calculate the LCM of 84686 and 84700.

LCM(84686,84700) = 2² × 7¹ × 23¹ × 263¹ × 5² × 11²
LCM(84686,84700) = 512350300