GCF and LCM Calculator Logo

What is the Least Common Multiple of 27874 and 27879?

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 (LCM) of 27874 and 27879 is 777099246.

LCM(27874,27879) = 777099246

LCM Calculator and
and

Least Common Multiple of 27874 and 27879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27874 and 27879, than apply into the LCM equation.

GCF(27874,27879) = 1
LCM(27874,27879) = ( 27874 × 27879) / 1
LCM(27874,27879) = 777099246 / 1
LCM(27874,27879) = 777099246

Least Common Multiple (LCM) of 27874 and 27879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27874 and 27879. First we will calculate the prime factors of 27874 and 27879.

Prime Factorization of 27874

Prime factors of 27874 are 2, 7, 11, 181. Prime factorization of 27874 in exponential form is:

27874 = 21 × 71 × 111 × 1811

Prime Factorization of 27879

Prime factors of 27879 are 3, 9293. Prime factorization of 27879 in exponential form is:

27879 = 31 × 92931

Now multiplying the highest exponent prime factors to calculate the LCM of 27874 and 27879.

LCM(27874,27879) = 21 × 71 × 111 × 1811 × 31 × 92931
LCM(27874,27879) = 777099246