What is the Least Common Multiple of 35586 and 35598?

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 35586 and 35598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35586 and 35598, than apply into the LCM equation.

GCF(35586,35598) = 6
LCM(35586,35598) = ( 35586 × 35598) / 6
LCM(35586,35598) = 1266790428 / 6
LCM(35586,35598) = 211131738

Least Common Multiple (LCM) of 35586 and 35598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35586 and 35598. First we will calculate the prime factors of 35586 and 35598.

Prime Factorization of 35586

Prime Factorization of 35598

Now multiplying the highest exponent prime factors to calculate the LCM of 35586 and 35598.

LCM(35586,35598) = 2¹ × 3³ × 659¹ × 17¹ × 349¹
LCM(35586,35598) = 211131738