What is the Least Common Multiple of 66289 and 66304?

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 66289 and 66304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66289 and 66304, than apply into the LCM equation.

GCF(66289,66304) = 1
LCM(66289,66304) = ( 66289 × 66304) / 1
LCM(66289,66304) = 4395225856 / 1
LCM(66289,66304) = 4395225856

Least Common Multiple (LCM) of 66289 and 66304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66289 and 66304. First we will calculate the prime factors of 66289 and 66304.

Prime Factorization of 66289

Prime Factorization of 66304

Now multiplying the highest exponent prime factors to calculate the LCM of 66289 and 66304.

LCM(66289,66304) = 151¹ × 439¹ × 2⁸ × 7¹ × 37¹
LCM(66289,66304) = 4395225856