What is the Least Common Multiple of 86217 and 86223?

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 86217 and 86223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86217 and 86223, than apply into the LCM equation.

GCF(86217,86223) = 3
LCM(86217,86223) = ( 86217 × 86223) / 3
LCM(86217,86223) = 7433888391 / 3
LCM(86217,86223) = 2477962797

Least Common Multiple (LCM) of 86217 and 86223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86217 and 86223. First we will calculate the prime factors of 86217 and 86223.

Prime Factorization of 86217

Prime Factorization of 86223

Now multiplying the highest exponent prime factors to calculate the LCM of 86217 and 86223.

LCM(86217,86223) = 3¹ × 29¹ × 991¹ × 41¹ × 701¹
LCM(86217,86223) = 2477962797