What is the Least Common Multiple of 27856 and 27871?

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 of 27856 and 27871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27856 and 27871, than apply into the LCM equation.

GCF(27856,27871) = 1
LCM(27856,27871) = ( 27856 × 27871) / 1
LCM(27856,27871) = 776374576 / 1
LCM(27856,27871) = 776374576

Least Common Multiple (LCM) of 27856 and 27871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27856 and 27871. First we will calculate the prime factors of 27856 and 27871.

Prime Factorization of 27856

Prime Factorization of 27871

Now multiplying the highest exponent prime factors to calculate the LCM of 27856 and 27871.

LCM(27856,27871) = 2⁴ × 1741¹ × 47¹ × 593¹
LCM(27856,27871) = 776374576