What is the Least Common Multiple of 18353 and 18369?

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 18353 and 18369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18353 and 18369, than apply into the LCM equation.

GCF(18353,18369) = 1
LCM(18353,18369) = ( 18353 × 18369) / 1
LCM(18353,18369) = 337126257 / 1
LCM(18353,18369) = 337126257

Least Common Multiple (LCM) of 18353 and 18369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18353 and 18369. First we will calculate the prime factors of 18353 and 18369.

Prime Factorization of 18353

Prime Factorization of 18369

Now multiplying the highest exponent prime factors to calculate the LCM of 18353 and 18369.

LCM(18353,18369) = 18353¹ × 3² × 13¹ × 157¹
LCM(18353,18369) = 337126257