What is the Least Common Multiple of 66585 and 66591?

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 66585 and 66591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66585 and 66591, than apply into the LCM equation.

GCF(66585,66591) = 3
LCM(66585,66591) = ( 66585 × 66591) / 3
LCM(66585,66591) = 4433961735 / 3
LCM(66585,66591) = 1477987245

Least Common Multiple (LCM) of 66585 and 66591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66585 and 66591. First we will calculate the prime factors of 66585 and 66591.

Prime Factorization of 66585

Prime Factorization of 66591

Now multiplying the highest exponent prime factors to calculate the LCM of 66585 and 66591.

LCM(66585,66591) = 3² × 5¹ × 23¹ × 193¹ × 7² × 151¹
LCM(66585,66591) = 1477987245