GCF and LCM Calculator Logo

What is the Least Common Multiple of 27867 and 27875?

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 27867 and 27875 is 776792625.

LCM(27867,27875) = 776792625

LCM Calculator and
and

Least Common Multiple of 27867 and 27875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27867 and 27875, than apply into the LCM equation.

GCF(27867,27875) = 1
LCM(27867,27875) = ( 27867 × 27875) / 1
LCM(27867,27875) = 776792625 / 1
LCM(27867,27875) = 776792625

Least Common Multiple (LCM) of 27867 and 27875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27867 and 27875. First we will calculate the prime factors of 27867 and 27875.

Prime Factorization of 27867

Prime factors of 27867 are 3, 7, 1327. Prime factorization of 27867 in exponential form is:

27867 = 31 × 71 × 13271

Prime Factorization of 27875

Prime factors of 27875 are 5, 223. Prime factorization of 27875 in exponential form is:

27875 = 53 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 27867 and 27875.

LCM(27867,27875) = 31 × 71 × 13271 × 53 × 2231
LCM(27867,27875) = 776792625