What is the Least Common Multiple of 27824 and 27842?

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 27824 and 27842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27824 and 27842, than apply into the LCM equation.

GCF(27824,27842) = 2
LCM(27824,27842) = ( 27824 × 27842) / 2
LCM(27824,27842) = 774675808 / 2
LCM(27824,27842) = 387337904

Least Common Multiple (LCM) of 27824 and 27842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27824 and 27842. First we will calculate the prime factors of 27824 and 27842.

Prime Factorization of 27824

Prime Factorization of 27842

Now multiplying the highest exponent prime factors to calculate the LCM of 27824 and 27842.

LCM(27824,27842) = 2⁴ × 37¹ × 47¹ × 13921¹
LCM(27824,27842) = 387337904