GCF and LCM Calculator Logo

What is the Least Common Multiple of 27155 and 27171?

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 27155 and 27171 is 737828505.

LCM(27155,27171) = 737828505

LCM Calculator and
and

Least Common Multiple of 27155 and 27171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27155 and 27171, than apply into the LCM equation.

GCF(27155,27171) = 1
LCM(27155,27171) = ( 27155 × 27171) / 1
LCM(27155,27171) = 737828505 / 1
LCM(27155,27171) = 737828505

Least Common Multiple (LCM) of 27155 and 27171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27155 and 27171. First we will calculate the prime factors of 27155 and 27171.

Prime Factorization of 27155

Prime factors of 27155 are 5, 5431. Prime factorization of 27155 in exponential form is:

27155 = 51 × 54311

Prime Factorization of 27171

Prime factors of 27171 are 3, 3019. Prime factorization of 27171 in exponential form is:

27171 = 32 × 30191

Now multiplying the highest exponent prime factors to calculate the LCM of 27155 and 27171.

LCM(27155,27171) = 51 × 54311 × 32 × 30191
LCM(27155,27171) = 737828505