GCF and LCM Calculator Logo

What is the Least Common Multiple of 26871 and 26875?

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 26871 and 26875 is 722158125.

LCM(26871,26875) = 722158125

LCM Calculator and
and

Least Common Multiple of 26871 and 26875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26871 and 26875, than apply into the LCM equation.

GCF(26871,26875) = 1
LCM(26871,26875) = ( 26871 × 26875) / 1
LCM(26871,26875) = 722158125 / 1
LCM(26871,26875) = 722158125

Least Common Multiple (LCM) of 26871 and 26875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26871 and 26875. First we will calculate the prime factors of 26871 and 26875.

Prime Factorization of 26871

Prime factors of 26871 are 3, 13, 53. Prime factorization of 26871 in exponential form is:

26871 = 31 × 132 × 531

Prime Factorization of 26875

Prime factors of 26875 are 5, 43. Prime factorization of 26875 in exponential form is:

26875 = 54 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 26871 and 26875.

LCM(26871,26875) = 31 × 132 × 531 × 54 × 431
LCM(26871,26875) = 722158125