What is the Least Common Multiple of 86320 and 86340?

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 86320 and 86340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86320 and 86340, than apply into the LCM equation.

GCF(86320,86340) = 20
LCM(86320,86340) = ( 86320 × 86340) / 20
LCM(86320,86340) = 7452868800 / 20
LCM(86320,86340) = 372643440

Least Common Multiple (LCM) of 86320 and 86340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86320 and 86340. First we will calculate the prime factors of 86320 and 86340.

Prime Factorization of 86320

Prime Factorization of 86340

Now multiplying the highest exponent prime factors to calculate the LCM of 86320 and 86340.

LCM(86320,86340) = 2⁴ × 5¹ × 13¹ × 83¹ × 3¹ × 1439¹
LCM(86320,86340) = 372643440