GCF and LCM Calculator Logo

What is the Least Common Multiple of 18249 and 18254?

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 18249 and 18254 is 333117246.

LCM(18249,18254) = 333117246

LCM Calculator and
and

Least Common Multiple of 18249 and 18254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18249 and 18254, than apply into the LCM equation.

GCF(18249,18254) = 1
LCM(18249,18254) = ( 18249 × 18254) / 1
LCM(18249,18254) = 333117246 / 1
LCM(18249,18254) = 333117246

Least Common Multiple (LCM) of 18249 and 18254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18249 and 18254. First we will calculate the prime factors of 18249 and 18254.

Prime Factorization of 18249

Prime factors of 18249 are 3, 7, 11, 79. Prime factorization of 18249 in exponential form is:

18249 = 31 × 71 × 111 × 791

Prime Factorization of 18254

Prime factors of 18254 are 2, 9127. Prime factorization of 18254 in exponential form is:

18254 = 21 × 91271

Now multiplying the highest exponent prime factors to calculate the LCM of 18249 and 18254.

LCM(18249,18254) = 31 × 71 × 111 × 791 × 21 × 91271
LCM(18249,18254) = 333117246