What is the Least Common Multiple of 86257 and 86267?

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 86257 and 86267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86257 and 86267, than apply into the LCM equation.

GCF(86257,86267) = 1
LCM(86257,86267) = ( 86257 × 86267) / 1
LCM(86257,86267) = 7441132619 / 1
LCM(86257,86267) = 7441132619

Least Common Multiple (LCM) of 86257 and 86267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86257 and 86267. First we will calculate the prime factors of 86257 and 86267.

Prime Factorization of 86257

Prime Factorization of 86267

Now multiplying the highest exponent prime factors to calculate the LCM of 86257 and 86267.

LCM(86257,86267) = 86257¹ × 281¹ × 307¹
LCM(86257,86267) = 7441132619