What is the Least Common Multiple of 65436 and 65441?

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 65436 and 65441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65436 and 65441, than apply into the LCM equation.

GCF(65436,65441) = 1
LCM(65436,65441) = ( 65436 × 65441) / 1
LCM(65436,65441) = 4282197276 / 1
LCM(65436,65441) = 4282197276

Least Common Multiple (LCM) of 65436 and 65441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65436 and 65441. First we will calculate the prime factors of 65436 and 65441.

Prime Factorization of 65436

Prime Factorization of 65441

Now multiplying the highest exponent prime factors to calculate the LCM of 65436 and 65441.

LCM(65436,65441) = 2² × 3¹ × 7¹ × 19¹ × 41¹ × 31¹ × 2111¹
LCM(65436,65441) = 4282197276