What is the Least Common Multiple of 36550 and 36558?

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 36550 and 36558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36550 and 36558, than apply into the LCM equation.

GCF(36550,36558) = 2
LCM(36550,36558) = ( 36550 × 36558) / 2
LCM(36550,36558) = 1336194900 / 2
LCM(36550,36558) = 668097450

Least Common Multiple (LCM) of 36550 and 36558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36550 and 36558. First we will calculate the prime factors of 36550 and 36558.

Prime Factorization of 36550

Prime Factorization of 36558

Now multiplying the highest exponent prime factors to calculate the LCM of 36550 and 36558.

LCM(36550,36558) = 2¹ × 5² × 17¹ × 43¹ × 3³ × 677¹
LCM(36550,36558) = 668097450