What is the Least Common Multiple of 65489 and 65509?

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 65489 and 65509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65489 and 65509, than apply into the LCM equation.

GCF(65489,65509) = 1
LCM(65489,65509) = ( 65489 × 65509) / 1
LCM(65489,65509) = 4290118901 / 1
LCM(65489,65509) = 4290118901

Least Common Multiple (LCM) of 65489 and 65509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65489 and 65509. First we will calculate the prime factors of 65489 and 65509.

Prime Factorization of 65489

Prime Factorization of 65509

Now multiplying the highest exponent prime factors to calculate the LCM of 65489 and 65509.

LCM(65489,65509) = 43¹ × 1523¹ × 109¹ × 601¹
LCM(65489,65509) = 4290118901