What is the Least Common Multiple of 86478 and 86485?

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 86478 and 86485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86478 and 86485, than apply into the LCM equation.

GCF(86478,86485) = 7
LCM(86478,86485) = ( 86478 × 86485) / 7
LCM(86478,86485) = 7479049830 / 7
LCM(86478,86485) = 1068435690

Least Common Multiple (LCM) of 86478 and 86485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86478 and 86485. First we will calculate the prime factors of 86478 and 86485.

Prime Factorization of 86478

Prime Factorization of 86485

Now multiplying the highest exponent prime factors to calculate the LCM of 86478 and 86485.

LCM(86478,86485) = 2¹ × 3¹ × 7² × 29¹ × 71¹ × 5¹ × 353¹
LCM(86478,86485) = 1068435690