What is the Least Common Multiple of 86471 and 86490?

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 86471 and 86490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86471 and 86490, than apply into the LCM equation.

GCF(86471,86490) = 1
LCM(86471,86490) = ( 86471 × 86490) / 1
LCM(86471,86490) = 7478876790 / 1
LCM(86471,86490) = 7478876790

Least Common Multiple (LCM) of 86471 and 86490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86471 and 86490. First we will calculate the prime factors of 86471 and 86490.

Prime Factorization of 86471

Prime Factorization of 86490

Now multiplying the highest exponent prime factors to calculate the LCM of 86471 and 86490.

LCM(86471,86490) = 7¹ × 11¹ × 1123¹ × 2¹ × 3² × 5¹ × 31²
LCM(86471,86490) = 7478876790