What is the Least Common Multiple of 8586 and 8603?

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 8586 and 8603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8586 and 8603, than apply into the LCM equation.

GCF(8586,8603) = 1
LCM(8586,8603) = ( 8586 × 8603) / 1
LCM(8586,8603) = 73865358 / 1
LCM(8586,8603) = 73865358

Least Common Multiple (LCM) of 8586 and 8603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8586 and 8603. First we will calculate the prime factors of 8586 and 8603.

Prime Factorization of 8586

Prime Factorization of 8603

Now multiplying the highest exponent prime factors to calculate the LCM of 8586 and 8603.

LCM(8586,8603) = 2¹ × 3⁴ × 53¹ × 7¹ × 1229¹
LCM(8586,8603) = 73865358