What is the Least Common Multiple of 65441 and 65459?

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 65441 and 65459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65441 and 65459, than apply into the LCM equation.

GCF(65441,65459) = 1
LCM(65441,65459) = ( 65441 × 65459) / 1
LCM(65441,65459) = 4283702419 / 1
LCM(65441,65459) = 4283702419

Least Common Multiple (LCM) of 65441 and 65459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65441 and 65459. First we will calculate the prime factors of 65441 and 65459.

Prime Factorization of 65441

Prime Factorization of 65459

Now multiplying the highest exponent prime factors to calculate the LCM of 65441 and 65459.

LCM(65441,65459) = 31¹ × 2111¹ × 67¹ × 977¹
LCM(65441,65459) = 4283702419