What is the Least Common Multiple of 86721 and 86733?

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 86721 and 86733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86721 and 86733, than apply into the LCM equation.

GCF(86721,86733) = 3
LCM(86721,86733) = ( 86721 × 86733) / 3
LCM(86721,86733) = 7521572493 / 3
LCM(86721,86733) = 2507190831

Least Common Multiple (LCM) of 86721 and 86733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86721 and 86733. First we will calculate the prime factors of 86721 and 86733.

Prime Factorization of 86721

Prime Factorization of 86733

Now multiplying the highest exponent prime factors to calculate the LCM of 86721 and 86733.

LCM(86721,86733) = 3² × 137¹ × 211¹ × 23¹ × 419¹
LCM(86721,86733) = 2507190831