What is the Least Common Multiple of 86931 and 86943?

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 86931 and 86943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86931 and 86943, than apply into the LCM equation.

GCF(86931,86943) = 3
LCM(86931,86943) = ( 86931 × 86943) / 3
LCM(86931,86943) = 7558041933 / 3
LCM(86931,86943) = 2519347311

Least Common Multiple (LCM) of 86931 and 86943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86931 and 86943. First we will calculate the prime factors of 86931 and 86943.

Prime Factorization of 86931

Prime Factorization of 86943

Now multiplying the highest exponent prime factors to calculate the LCM of 86931 and 86943.

LCM(86931,86943) = 3² × 13¹ × 743¹ × 73¹ × 397¹
LCM(86931,86943) = 2519347311