GCF and LCM Calculator Logo

What is the Least Common Multiple of 18353 and 18360?

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 18353 and 18360 is 336961080.

LCM(18353,18360) = 336961080

LCM Calculator and
and

Least Common Multiple of 18353 and 18360 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 18360, than apply into the LCM equation.

GCF(18353,18360) = 1
LCM(18353,18360) = ( 18353 × 18360) / 1
LCM(18353,18360) = 336961080 / 1
LCM(18353,18360) = 336961080

Least Common Multiple (LCM) of 18353 and 18360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18353 and 18360. First we will calculate the prime factors of 18353 and 18360.

Prime Factorization of 18353

Prime factors of 18353 are 18353. Prime factorization of 18353 in exponential form is:

18353 = 183531

Prime Factorization of 18360

Prime factors of 18360 are 2, 3, 5, 17. Prime factorization of 18360 in exponential form is:

18360 = 23 × 33 × 51 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 18353 and 18360.

LCM(18353,18360) = 183531 × 23 × 33 × 51 × 171
LCM(18353,18360) = 336961080