What is the Least Common Multiple of 86913 and 86931?

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 86913 and 86931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86913 and 86931, than apply into the LCM equation.

GCF(86913,86931) = 9
LCM(86913,86931) = ( 86913 × 86931) / 9
LCM(86913,86931) = 7555434003 / 9
LCM(86913,86931) = 839492667

Least Common Multiple (LCM) of 86913 and 86931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86913 and 86931. First we will calculate the prime factors of 86913 and 86931.

Prime Factorization of 86913

Prime Factorization of 86931

Now multiplying the highest exponent prime factors to calculate the LCM of 86913 and 86931.

LCM(86913,86931) = 3⁴ × 29¹ × 37¹ × 13¹ × 743¹
LCM(86913,86931) = 839492667