What is the Least Common Multiple of 86790 and 86805?

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 86790 and 86805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86790 and 86805, than apply into the LCM equation.

GCF(86790,86805) = 15
LCM(86790,86805) = ( 86790 × 86805) / 15
LCM(86790,86805) = 7533805950 / 15
LCM(86790,86805) = 502253730

Least Common Multiple (LCM) of 86790 and 86805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86790 and 86805. First we will calculate the prime factors of 86790 and 86805.

Prime Factorization of 86790

Prime Factorization of 86805

Now multiplying the highest exponent prime factors to calculate the LCM of 86790 and 86805.

LCM(86790,86805) = 2¹ × 3³ × 5¹ × 11¹ × 263¹ × 643¹
LCM(86790,86805) = 502253730