What is the Least Common Multiple of 36566 and 36584?

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 36566 and 36584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36566 and 36584, than apply into the LCM equation.

GCF(36566,36584) = 2
LCM(36566,36584) = ( 36566 × 36584) / 2
LCM(36566,36584) = 1337730544 / 2
LCM(36566,36584) = 668865272

Least Common Multiple (LCM) of 36566 and 36584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36566 and 36584. First we will calculate the prime factors of 36566 and 36584.

Prime Factorization of 36566

Prime Factorization of 36584

Now multiplying the highest exponent prime factors to calculate the LCM of 36566 and 36584.

LCM(36566,36584) = 2³ × 47¹ × 389¹ × 17¹ × 269¹
LCM(36566,36584) = 668865272