What is the Least Common Multiple of 65643 and 65661?

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 65643 and 65661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65643 and 65661, than apply into the LCM equation.

GCF(65643,65661) = 3
LCM(65643,65661) = ( 65643 × 65661) / 3
LCM(65643,65661) = 4310185023 / 3
LCM(65643,65661) = 1436728341

Least Common Multiple (LCM) of 65643 and 65661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65643 and 65661. First we will calculate the prime factors of 65643 and 65661.

Prime Factorization of 65643

Prime Factorization of 65661

Now multiplying the highest exponent prime factors to calculate the LCM of 65643 and 65661.

LCM(65643,65661) = 3¹ × 21881¹ × 43¹ × 509¹
LCM(65643,65661) = 1436728341