What is the Least Common Multiple of 27892 and 27900?

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 27892 and 27900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27892 and 27900, than apply into the LCM equation.

GCF(27892,27900) = 4
LCM(27892,27900) = ( 27892 × 27900) / 4
LCM(27892,27900) = 778186800 / 4
LCM(27892,27900) = 194546700

Least Common Multiple (LCM) of 27892 and 27900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27892 and 27900. First we will calculate the prime factors of 27892 and 27900.

Prime Factorization of 27892

Prime Factorization of 27900

Now multiplying the highest exponent prime factors to calculate the LCM of 27892 and 27900.

LCM(27892,27900) = 2² × 19¹ × 367¹ × 3² × 5² × 31¹
LCM(27892,27900) = 194546700