What is the Least Common Multiple of 86340 and 86345?

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 86340 and 86345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86340 and 86345, than apply into the LCM equation.

GCF(86340,86345) = 5
LCM(86340,86345) = ( 86340 × 86345) / 5
LCM(86340,86345) = 7455027300 / 5
LCM(86340,86345) = 1491005460

Least Common Multiple (LCM) of 86340 and 86345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86340 and 86345. First we will calculate the prime factors of 86340 and 86345.

Prime Factorization of 86340

Prime Factorization of 86345

Now multiplying the highest exponent prime factors to calculate the LCM of 86340 and 86345.

LCM(86340,86345) = 2² × 3¹ × 5¹ × 1439¹ × 7¹ × 2467¹
LCM(86340,86345) = 1491005460