What is the Least Common Multiple of 27876 and 27896?

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 27876 and 27896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27876 and 27896, than apply into the LCM equation.

GCF(27876,27896) = 4
LCM(27876,27896) = ( 27876 × 27896) / 4
LCM(27876,27896) = 777628896 / 4
LCM(27876,27896) = 194407224

Least Common Multiple (LCM) of 27876 and 27896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27876 and 27896. First we will calculate the prime factors of 27876 and 27896.

Prime Factorization of 27876

Prime Factorization of 27896

Now multiplying the highest exponent prime factors to calculate the LCM of 27876 and 27896.

LCM(27876,27896) = 2³ × 3¹ × 23¹ × 101¹ × 11¹ × 317¹
LCM(27876,27896) = 194407224