GCF and LCM Calculator Logo

What is the Least Common Multiple of 27003 and 27018?

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 27003 and 27018 is 243189018.

LCM(27003,27018) = 243189018

LCM Calculator and
and

Least Common Multiple of 27003 and 27018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27003 and 27018, than apply into the LCM equation.

GCF(27003,27018) = 3
LCM(27003,27018) = ( 27003 × 27018) / 3
LCM(27003,27018) = 729567054 / 3
LCM(27003,27018) = 243189018

Least Common Multiple (LCM) of 27003 and 27018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27003 and 27018. First we will calculate the prime factors of 27003 and 27018.

Prime Factorization of 27003

Prime factors of 27003 are 3, 9001. Prime factorization of 27003 in exponential form is:

27003 = 31 × 90011

Prime Factorization of 27018

Prime factors of 27018 are 2, 3, 19, 79. Prime factorization of 27018 in exponential form is:

27018 = 21 × 32 × 191 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 27003 and 27018.

LCM(27003,27018) = 32 × 90011 × 21 × 191 × 791
LCM(27003,27018) = 243189018