What is the Least Common Multiple of 86805 and 86820?

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 86805 and 86820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86805 and 86820, than apply into the LCM equation.

GCF(86805,86820) = 15
LCM(86805,86820) = ( 86805 × 86820) / 15
LCM(86805,86820) = 7536410100 / 15
LCM(86805,86820) = 502427340

Least Common Multiple (LCM) of 86805 and 86820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86805 and 86820. First we will calculate the prime factors of 86805 and 86820.

Prime Factorization of 86805

Prime Factorization of 86820

Now multiplying the highest exponent prime factors to calculate the LCM of 86805 and 86820.

LCM(86805,86820) = 3³ × 5¹ × 643¹ × 2² × 1447¹
LCM(86805,86820) = 502427340