What is the Least Common Multiple of 86205 and 86224?

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 86205 and 86224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86205 and 86224, than apply into the LCM equation.

GCF(86205,86224) = 1
LCM(86205,86224) = ( 86205 × 86224) / 1
LCM(86205,86224) = 7432939920 / 1
LCM(86205,86224) = 7432939920

Least Common Multiple (LCM) of 86205 and 86224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86205 and 86224. First we will calculate the prime factors of 86205 and 86224.

Prime Factorization of 86205

Prime Factorization of 86224

Now multiplying the highest exponent prime factors to calculate the LCM of 86205 and 86224.

LCM(86205,86224) = 3¹ × 5¹ × 7¹ × 821¹ × 2⁴ × 17¹ × 317¹
LCM(86205,86224) = 7432939920