What is the Least Common Multiple of 27874 and 27888?

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 27874 and 27888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27874 and 27888, than apply into the LCM equation.

GCF(27874,27888) = 14
LCM(27874,27888) = ( 27874 × 27888) / 14
LCM(27874,27888) = 777350112 / 14
LCM(27874,27888) = 55525008

Least Common Multiple (LCM) of 27874 and 27888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27874 and 27888. First we will calculate the prime factors of 27874 and 27888.

Prime Factorization of 27874

Prime Factorization of 27888

Now multiplying the highest exponent prime factors to calculate the LCM of 27874 and 27888.

LCM(27874,27888) = 2⁴ × 7¹ × 11¹ × 181¹ × 3¹ × 83¹
LCM(27874,27888) = 55525008