What is the Least Common Multiple of 66005 and 66013?

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 66005 and 66013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66005 and 66013, than apply into the LCM equation.

GCF(66005,66013) = 1
LCM(66005,66013) = ( 66005 × 66013) / 1
LCM(66005,66013) = 4357188065 / 1
LCM(66005,66013) = 4357188065

Least Common Multiple (LCM) of 66005 and 66013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66005 and 66013. First we will calculate the prime factors of 66005 and 66013.

Prime Factorization of 66005

Prime Factorization of 66013

Now multiplying the highest exponent prime factors to calculate the LCM of 66005 and 66013.

LCM(66005,66013) = 5¹ × 43¹ × 307¹ × 251¹ × 263¹
LCM(66005,66013) = 4357188065