What is the Least Common Multiple of 27880 and 27886?

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 27880 and 27886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27880 and 27886, than apply into the LCM equation.

GCF(27880,27886) = 2
LCM(27880,27886) = ( 27880 × 27886) / 2
LCM(27880,27886) = 777461680 / 2
LCM(27880,27886) = 388730840

Least Common Multiple (LCM) of 27880 and 27886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27880 and 27886. First we will calculate the prime factors of 27880 and 27886.

Prime Factorization of 27880

Prime Factorization of 27886

Now multiplying the highest exponent prime factors to calculate the LCM of 27880 and 27886.

LCM(27880,27886) = 2³ × 5¹ × 17¹ × 41¹ × 73¹ × 191¹
LCM(27880,27886) = 388730840