What is the Least Common Multiple of 27812 and 27824?

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 27812 and 27824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27812 and 27824, than apply into the LCM equation.

GCF(27812,27824) = 4
LCM(27812,27824) = ( 27812 × 27824) / 4
LCM(27812,27824) = 773841088 / 4
LCM(27812,27824) = 193460272

Least Common Multiple (LCM) of 27812 and 27824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27812 and 27824. First we will calculate the prime factors of 27812 and 27824.

Prime Factorization of 27812

Prime Factorization of 27824

Now multiplying the highest exponent prime factors to calculate the LCM of 27812 and 27824.

LCM(27812,27824) = 2⁴ × 17¹ × 409¹ × 37¹ × 47¹
LCM(27812,27824) = 193460272