What is the Least Common Multiple of 86804 and 86815?

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 86804 and 86815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86804 and 86815, than apply into the LCM equation.

GCF(86804,86815) = 1
LCM(86804,86815) = ( 86804 × 86815) / 1
LCM(86804,86815) = 7535889260 / 1
LCM(86804,86815) = 7535889260

Least Common Multiple (LCM) of 86804 and 86815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86804 and 86815. First we will calculate the prime factors of 86804 and 86815.

Prime Factorization of 86804

Prime Factorization of 86815

Now multiplying the highest exponent prime factors to calculate the LCM of 86804 and 86815.

LCM(86804,86815) = 2² × 21701¹ × 5¹ × 97¹ × 179¹
LCM(86804,86815) = 7535889260