What is the Least Common Multiple of 86340 and 86350?

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 86350 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 86350, than apply into the LCM equation.

GCF(86340,86350) = 10
LCM(86340,86350) = ( 86340 × 86350) / 10
LCM(86340,86350) = 7455459000 / 10
LCM(86340,86350) = 745545900

Least Common Multiple (LCM) of 86340 and 86350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86340 and 86350. First we will calculate the prime factors of 86340 and 86350.

Prime Factorization of 86340

Prime Factorization of 86350

Now multiplying the highest exponent prime factors to calculate the LCM of 86340 and 86350.

LCM(86340,86350) = 2² × 3¹ × 5² × 1439¹ × 11¹ × 157¹
LCM(86340,86350) = 745545900