What is the Least Common Multiple of 66566 and 66584?

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 66566 and 66584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66566 and 66584, than apply into the LCM equation.

GCF(66566,66584) = 2
LCM(66566,66584) = ( 66566 × 66584) / 2
LCM(66566,66584) = 4432230544 / 2
LCM(66566,66584) = 2216115272

Least Common Multiple (LCM) of 66566 and 66584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66566 and 66584. First we will calculate the prime factors of 66566 and 66584.

Prime Factorization of 66566

Prime Factorization of 66584

Now multiplying the highest exponent prime factors to calculate the LCM of 66566 and 66584.

LCM(66566,66584) = 2³ × 83¹ × 401¹ × 7¹ × 29¹ × 41¹
LCM(66566,66584) = 2216115272