GCF and LCM Calculator Logo

What is the Least Common Multiple of 27037 and 27053?

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 27037 and 27053 is 731431961.

LCM(27037,27053) = 731431961

LCM Calculator and
and

Least Common Multiple of 27037 and 27053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27037 and 27053, than apply into the LCM equation.

GCF(27037,27053) = 1
LCM(27037,27053) = ( 27037 × 27053) / 1
LCM(27037,27053) = 731431961 / 1
LCM(27037,27053) = 731431961

Least Common Multiple (LCM) of 27037 and 27053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27037 and 27053. First we will calculate the prime factors of 27037 and 27053.

Prime Factorization of 27037

Prime factors of 27037 are 19, 1423. Prime factorization of 27037 in exponential form is:

27037 = 191 × 14231

Prime Factorization of 27053

Prime factors of 27053 are 13, 2081. Prime factorization of 27053 in exponential form is:

27053 = 131 × 20811

Now multiplying the highest exponent prime factors to calculate the LCM of 27037 and 27053.

LCM(27037,27053) = 191 × 14231 × 131 × 20811
LCM(27037,27053) = 731431961