GCF and LCM Calculator Logo

What is the Least Common Multiple of 65344 and 65361?

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 (LCM) of 65344 and 65361 is 4270949184.

LCM(65344,65361) = 4270949184

LCM Calculator and
and

Least Common Multiple of 65344 and 65361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65344 and 65361, than apply into the LCM equation.

GCF(65344,65361) = 1
LCM(65344,65361) = ( 65344 × 65361) / 1
LCM(65344,65361) = 4270949184 / 1
LCM(65344,65361) = 4270949184

Least Common Multiple (LCM) of 65344 and 65361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65344 and 65361. First we will calculate the prime factors of 65344 and 65361.

Prime Factorization of 65344

Prime factors of 65344 are 2, 1021. Prime factorization of 65344 in exponential form is:

65344 = 26 × 10211

Prime Factorization of 65361

Prime factors of 65361 are 3, 21787. Prime factorization of 65361 in exponential form is:

65361 = 31 × 217871

Now multiplying the highest exponent prime factors to calculate the LCM of 65344 and 65361.

LCM(65344,65361) = 26 × 10211 × 31 × 217871
LCM(65344,65361) = 4270949184