What is the Least Common Multiple of 86289 and 86303?

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 86289 and 86303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86289 and 86303, than apply into the LCM equation.

GCF(86289,86303) = 7
LCM(86289,86303) = ( 86289 × 86303) / 7
LCM(86289,86303) = 7446999567 / 7
LCM(86289,86303) = 1063857081

Least Common Multiple (LCM) of 86289 and 86303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86289 and 86303. First we will calculate the prime factors of 86289 and 86303.

Prime Factorization of 86289

Prime Factorization of 86303

Now multiplying the highest exponent prime factors to calculate the LCM of 86289 and 86303.

LCM(86289,86303) = 3¹ × 7² × 587¹ × 12329¹
LCM(86289,86303) = 1063857081