What is the Least Common Multiple of 27900 and 27909?

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 27900 and 27909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27900 and 27909, than apply into the LCM equation.

GCF(27900,27909) = 9
LCM(27900,27909) = ( 27900 × 27909) / 9
LCM(27900,27909) = 778661100 / 9
LCM(27900,27909) = 86517900

Least Common Multiple (LCM) of 27900 and 27909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27900 and 27909. First we will calculate the prime factors of 27900 and 27909.

Prime Factorization of 27900

Prime Factorization of 27909

Now multiplying the highest exponent prime factors to calculate the LCM of 27900 and 27909.

LCM(27900,27909) = 2² × 3² × 5² × 31¹ × 7¹ × 443¹
LCM(27900,27909) = 86517900