What is the Least Common Multiple of 65583 and 65587?

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 65583 and 65587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65583 and 65587, than apply into the LCM equation.

GCF(65583,65587) = 1
LCM(65583,65587) = ( 65583 × 65587) / 1
LCM(65583,65587) = 4301392221 / 1
LCM(65583,65587) = 4301392221

Least Common Multiple (LCM) of 65583 and 65587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65583 and 65587. First we will calculate the prime factors of 65583 and 65587.

Prime Factorization of 65583

Prime Factorization of 65587

Now multiplying the highest exponent prime factors to calculate the LCM of 65583 and 65587.

LCM(65583,65587) = 3³ × 7¹ × 347¹ × 65587¹
LCM(65583,65587) = 4301392221