What is the Least Common Multiple of 65187 and 65199?

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 65187 and 65199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65187 and 65199, than apply into the LCM equation.

GCF(65187,65199) = 3
LCM(65187,65199) = ( 65187 × 65199) / 3
LCM(65187,65199) = 4250127213 / 3
LCM(65187,65199) = 1416709071

Least Common Multiple (LCM) of 65187 and 65199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65187 and 65199. First we will calculate the prime factors of 65187 and 65199.

Prime Factorization of 65187

Prime Factorization of 65199

Now multiplying the highest exponent prime factors to calculate the LCM of 65187 and 65199.

LCM(65187,65199) = 3² × 7243¹ × 103¹ × 211¹
LCM(65187,65199) = 1416709071