What is the Least Common Multiple of 27832 and 27838?

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 27832 and 27838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27832 and 27838, than apply into the LCM equation.

GCF(27832,27838) = 2
LCM(27832,27838) = ( 27832 × 27838) / 2
LCM(27832,27838) = 774787216 / 2
LCM(27832,27838) = 387393608

Least Common Multiple (LCM) of 27832 and 27838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27832 and 27838. First we will calculate the prime factors of 27832 and 27838.

Prime Factorization of 27832

Prime Factorization of 27838

Now multiplying the highest exponent prime factors to calculate the LCM of 27832 and 27838.

LCM(27832,27838) = 2³ × 7² × 71¹ × 31¹ × 449¹
LCM(27832,27838) = 387393608