What is the Least Common Multiple of 27824 and 27836?

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 27836 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 27836, than apply into the LCM equation.

GCF(27824,27836) = 4
LCM(27824,27836) = ( 27824 × 27836) / 4
LCM(27824,27836) = 774508864 / 4
LCM(27824,27836) = 193627216

Least Common Multiple (LCM) of 27824 and 27836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27824 and 27836. First we will calculate the prime factors of 27824 and 27836.

Prime Factorization of 27824

Prime Factorization of 27836

Now multiplying the highest exponent prime factors to calculate the LCM of 27824 and 27836.

LCM(27824,27836) = 2⁴ × 37¹ × 47¹ × 6959¹
LCM(27824,27836) = 193627216