What is the Least Common Multiple of 86592 and 86606?

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 86592 and 86606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86592 and 86606, than apply into the LCM equation.

GCF(86592,86606) = 2
LCM(86592,86606) = ( 86592 × 86606) / 2
LCM(86592,86606) = 7499386752 / 2
LCM(86592,86606) = 3749693376

Least Common Multiple (LCM) of 86592 and 86606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86592 and 86606. First we will calculate the prime factors of 86592 and 86606.

Prime Factorization of 86592

Prime Factorization of 86606

Now multiplying the highest exponent prime factors to calculate the LCM of 86592 and 86606.

LCM(86592,86606) = 2⁶ × 3¹ × 11¹ × 41¹ × 13¹ × 3331¹
LCM(86592,86606) = 3749693376