What is the Least Common Multiple of 65509 and 65523?

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 65523 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 65523, than apply into the LCM equation.

GCF(65509,65523) = 1
LCM(65509,65523) = ( 65509 × 65523) / 1
LCM(65509,65523) = 4292346207 / 1
LCM(65509,65523) = 4292346207

Least Common Multiple (LCM) of 65509 and 65523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65509 and 65523. First we will calculate the prime factors of 65509 and 65523.

Prime Factorization of 65509

Prime Factorization of 65523

Now multiplying the highest exponent prime factors to calculate the LCM of 65509 and 65523.

LCM(65509,65523) = 109¹ × 601¹ × 3¹ × 21841¹
LCM(65509,65523) = 4292346207