What is the Least Common Multiple of 65343 and 65349?

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 65343 and 65349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65343 and 65349, than apply into the LCM equation.

GCF(65343,65349) = 3
LCM(65343,65349) = ( 65343 × 65349) / 3
LCM(65343,65349) = 4270099707 / 3
LCM(65343,65349) = 1423366569

Least Common Multiple (LCM) of 65343 and 65349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65343 and 65349. First we will calculate the prime factors of 65343 and 65349.

Prime Factorization of 65343

Prime Factorization of 65349

Now multiplying the highest exponent prime factors to calculate the LCM of 65343 and 65349.

LCM(65343,65349) = 3² × 23¹ × 947¹ × 53¹ × 137¹
LCM(65343,65349) = 1423366569