GCF and LCM Calculator Logo

What is the Least Common Multiple of 18039 and 18054?

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 18039 and 18054 is 108558702.

LCM(18039,18054) = 108558702

LCM Calculator and
and

Least Common Multiple of 18039 and 18054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18039 and 18054, than apply into the LCM equation.

GCF(18039,18054) = 3
LCM(18039,18054) = ( 18039 × 18054) / 3
LCM(18039,18054) = 325676106 / 3
LCM(18039,18054) = 108558702

Least Common Multiple (LCM) of 18039 and 18054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18039 and 18054. First we will calculate the prime factors of 18039 and 18054.

Prime Factorization of 18039

Prime factors of 18039 are 3, 7, 859. Prime factorization of 18039 in exponential form is:

18039 = 31 × 71 × 8591

Prime Factorization of 18054

Prime factors of 18054 are 2, 3, 17, 59. Prime factorization of 18054 in exponential form is:

18054 = 21 × 32 × 171 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 18039 and 18054.

LCM(18039,18054) = 32 × 71 × 8591 × 21 × 171 × 591
LCM(18039,18054) = 108558702