What is the Least Common Multiple of 27857 and 27872?

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 27857 and 27872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27857 and 27872, than apply into the LCM equation.

GCF(27857,27872) = 1
LCM(27857,27872) = ( 27857 × 27872) / 1
LCM(27857,27872) = 776430304 / 1
LCM(27857,27872) = 776430304

Least Common Multiple (LCM) of 27857 and 27872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27857 and 27872. First we will calculate the prime factors of 27857 and 27872.

Prime Factorization of 27857

Prime Factorization of 27872

Now multiplying the highest exponent prime factors to calculate the LCM of 27857 and 27872.

LCM(27857,27872) = 89¹ × 313¹ × 2⁵ × 13¹ × 67¹
LCM(27857,27872) = 776430304