What is the Least Common Multiple of 66509 and 66528?

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 66509 and 66528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66509 and 66528, than apply into the LCM equation.

GCF(66509,66528) = 1
LCM(66509,66528) = ( 66509 × 66528) / 1
LCM(66509,66528) = 4424710752 / 1
LCM(66509,66528) = 4424710752

Least Common Multiple (LCM) of 66509 and 66528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66509 and 66528. First we will calculate the prime factors of 66509 and 66528.

Prime Factorization of 66509

Prime Factorization of 66528

Now multiplying the highest exponent prime factors to calculate the LCM of 66509 and 66528.

LCM(66509,66528) = 66509¹ × 2⁵ × 3³ × 7¹ × 11¹
LCM(66509,66528) = 4424710752