What is the Least Common Multiple of 66269 and 66281?

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 66269 and 66281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66269 and 66281, than apply into the LCM equation.

GCF(66269,66281) = 1
LCM(66269,66281) = ( 66269 × 66281) / 1
LCM(66269,66281) = 4392375589 / 1
LCM(66269,66281) = 4392375589

Least Common Multiple (LCM) of 66269 and 66281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66269 and 66281. First we will calculate the prime factors of 66269 and 66281.

Prime Factorization of 66269

Prime Factorization of 66281

Now multiplying the highest exponent prime factors to calculate the LCM of 66269 and 66281.

LCM(66269,66281) = 7¹ × 9467¹ × 79¹ × 839¹
LCM(66269,66281) = 4392375589