What is the Least Common Multiple of 69348 and 69361?

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 69348 and 69361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69348 and 69361, than apply into the LCM equation.

GCF(69348,69361) = 1
LCM(69348,69361) = ( 69348 × 69361) / 1
LCM(69348,69361) = 4810046628 / 1
LCM(69348,69361) = 4810046628

Least Common Multiple (LCM) of 69348 and 69361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69348 and 69361. First we will calculate the prime factors of 69348 and 69361.

Prime Factorization of 69348

Prime Factorization of 69361

Now multiplying the highest exponent prime factors to calculate the LCM of 69348 and 69361.

LCM(69348,69361) = 2² × 3¹ × 5779¹ × 139¹ × 499¹
LCM(69348,69361) = 4810046628