What is the Least Common Multiple of 65409 and 65424?

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 65424 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 65424, than apply into the LCM equation.

GCF(65409,65424) = 3
LCM(65409,65424) = ( 65409 × 65424) / 3
LCM(65409,65424) = 4279318416 / 3
LCM(65409,65424) = 1426439472

Least Common Multiple (LCM) of 65409 and 65424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65409 and 65424. First we will calculate the prime factors of 65409 and 65424.

Prime Factorization of 65409

Prime Factorization of 65424

Now multiplying the highest exponent prime factors to calculate the LCM of 65409 and 65424.

LCM(65409,65424) = 3¹ × 21803¹ × 2⁴ × 29¹ × 47¹
LCM(65409,65424) = 1426439472