What is the Least Common Multiple of 27812 and 27829?

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 27829 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 27829, than apply into the LCM equation.

GCF(27812,27829) = 17
LCM(27812,27829) = ( 27812 × 27829) / 17
LCM(27812,27829) = 773980148 / 17
LCM(27812,27829) = 45528244

Least Common Multiple (LCM) of 27812 and 27829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27812 and 27829. First we will calculate the prime factors of 27812 and 27829.

Prime Factorization of 27812

Prime Factorization of 27829

Now multiplying the highest exponent prime factors to calculate the LCM of 27812 and 27829.

LCM(27812,27829) = 2² × 17¹ × 409¹ × 1637¹
LCM(27812,27829) = 45528244