What is the Least Common Multiple of 36586 and 36598?

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 36586 and 36598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36586 and 36598, than apply into the LCM equation.

GCF(36586,36598) = 2
LCM(36586,36598) = ( 36586 × 36598) / 2
LCM(36586,36598) = 1338974428 / 2
LCM(36586,36598) = 669487214

Least Common Multiple (LCM) of 36586 and 36598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36586 and 36598. First we will calculate the prime factors of 36586 and 36598.

Prime Factorization of 36586

Prime Factorization of 36598

Now multiplying the highest exponent prime factors to calculate the LCM of 36586 and 36598.

LCM(36586,36598) = 2¹ × 11¹ × 1663¹ × 29¹ × 631¹
LCM(36586,36598) = 669487214