What is the Least Common Multiple of 86300 and 86314?

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 86300 and 86314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86300 and 86314, than apply into the LCM equation.

GCF(86300,86314) = 2
LCM(86300,86314) = ( 86300 × 86314) / 2
LCM(86300,86314) = 7448898200 / 2
LCM(86300,86314) = 3724449100

Least Common Multiple (LCM) of 86300 and 86314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86300 and 86314. First we will calculate the prime factors of 86300 and 86314.

Prime Factorization of 86300

Prime Factorization of 86314

Now multiplying the highest exponent prime factors to calculate the LCM of 86300 and 86314.

LCM(86300,86314) = 2² × 5² × 863¹ × 103¹ × 419¹
LCM(86300,86314) = 3724449100