What is the Least Common Multiple of 65509 and 65514?

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 65509 and 65514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65509 and 65514, than apply into the LCM equation.

GCF(65509,65514) = 1
LCM(65509,65514) = ( 65509 × 65514) / 1
LCM(65509,65514) = 4291756626 / 1
LCM(65509,65514) = 4291756626

Least Common Multiple (LCM) of 65509 and 65514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65509 and 65514. First we will calculate the prime factors of 65509 and 65514.

Prime Factorization of 65509

Prime Factorization of 65514

Now multiplying the highest exponent prime factors to calculate the LCM of 65509 and 65514.

LCM(65509,65514) = 109¹ × 601¹ × 2¹ × 3¹ × 61¹ × 179¹
LCM(65509,65514) = 4291756626