What is the Least Common Multiple of 65643 and 65663?

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 65663 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 65663, than apply into the LCM equation.

GCF(65643,65663) = 1
LCM(65643,65663) = ( 65643 × 65663) / 1
LCM(65643,65663) = 4310316309 / 1
LCM(65643,65663) = 4310316309

Least Common Multiple (LCM) of 65643 and 65663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65643 and 65663. First we will calculate the prime factors of 65643 and 65663.

Prime Factorization of 65643

Prime Factorization of 65663

Now multiplying the highest exponent prime factors to calculate the LCM of 65643 and 65663.

LCM(65643,65663) = 3¹ × 21881¹ × 13¹ × 5051¹
LCM(65643,65663) = 4310316309