What is the Least Common Multiple of 27844 and 27850?

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 27844 and 27850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27844 and 27850, than apply into the LCM equation.

GCF(27844,27850) = 2
LCM(27844,27850) = ( 27844 × 27850) / 2
LCM(27844,27850) = 775455400 / 2
LCM(27844,27850) = 387727700

Least Common Multiple (LCM) of 27844 and 27850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27844 and 27850. First we will calculate the prime factors of 27844 and 27850.

Prime Factorization of 27844

Prime Factorization of 27850

Now multiplying the highest exponent prime factors to calculate the LCM of 27844 and 27850.

LCM(27844,27850) = 2² × 6961¹ × 5² × 557¹
LCM(27844,27850) = 387727700