What is the Least Common Multiple of 23361 and 23369?

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 23361 and 23369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23361 and 23369, than apply into the LCM equation.

GCF(23361,23369) = 1
LCM(23361,23369) = ( 23361 × 23369) / 1
LCM(23361,23369) = 545923209 / 1
LCM(23361,23369) = 545923209

Least Common Multiple (LCM) of 23361 and 23369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23361 and 23369. First we will calculate the prime factors of 23361 and 23369.

Prime Factorization of 23361

Prime Factorization of 23369

Now multiplying the highest exponent prime factors to calculate the LCM of 23361 and 23369.

LCM(23361,23369) = 3¹ × 13¹ × 599¹ × 23369¹
LCM(23361,23369) = 545923209