What is the Least Common Multiple of 65409 and 65421?

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 65409 and 65421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65409 and 65421, than apply into the LCM equation.

GCF(65409,65421) = 3
LCM(65409,65421) = ( 65409 × 65421) / 3
LCM(65409,65421) = 4279122189 / 3
LCM(65409,65421) = 1426374063

Least Common Multiple (LCM) of 65409 and 65421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65409 and 65421. First we will calculate the prime factors of 65409 and 65421.

Prime Factorization of 65409

Prime Factorization of 65421

Now multiplying the highest exponent prime factors to calculate the LCM of 65409 and 65421.

LCM(65409,65421) = 3³ × 21803¹ × 2423¹
LCM(65409,65421) = 1426374063