What is the Least Common Multiple of 27854 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 27854 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 27854 and 27872, than apply into the LCM equation.

GCF(27854,27872) = 2
LCM(27854,27872) = ( 27854 × 27872) / 2
LCM(27854,27872) = 776346688 / 2
LCM(27854,27872) = 388173344

Least Common Multiple (LCM) of 27854 and 27872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27854 and 27872. First we will calculate the prime factors of 27854 and 27872.

Prime Factorization of 27854

Prime Factorization of 27872

Now multiplying the highest exponent prime factors to calculate the LCM of 27854 and 27872.

LCM(27854,27872) = 2⁵ × 19¹ × 733¹ × 13¹ × 67¹
LCM(27854,27872) = 388173344