GCF and LCM Calculator Logo

What is the Least Common Multiple of 27243 and 27258?

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 27243 and 27258 is 247529898.

LCM(27243,27258) = 247529898

LCM Calculator and
and

Least Common Multiple of 27243 and 27258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27243 and 27258, than apply into the LCM equation.

GCF(27243,27258) = 3
LCM(27243,27258) = ( 27243 × 27258) / 3
LCM(27243,27258) = 742589694 / 3
LCM(27243,27258) = 247529898

Least Common Multiple (LCM) of 27243 and 27258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27243 and 27258. First we will calculate the prime factors of 27243 and 27258.

Prime Factorization of 27243

Prime factors of 27243 are 3, 1009. Prime factorization of 27243 in exponential form is:

27243 = 33 × 10091

Prime Factorization of 27258

Prime factors of 27258 are 2, 3, 7, 11, 59. Prime factorization of 27258 in exponential form is:

27258 = 21 × 31 × 71 × 111 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 27243 and 27258.

LCM(27243,27258) = 33 × 10091 × 21 × 71 × 111 × 591
LCM(27243,27258) = 247529898