What is the Least Common Multiple of 27916 and 27931?

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 27916 and 27931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27916 and 27931, than apply into the LCM equation.

GCF(27916,27931) = 1
LCM(27916,27931) = ( 27916 × 27931) / 1
LCM(27916,27931) = 779721796 / 1
LCM(27916,27931) = 779721796

Least Common Multiple (LCM) of 27916 and 27931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27916 and 27931. First we will calculate the prime factors of 27916 and 27931.

Prime Factorization of 27916

Prime Factorization of 27931

Now multiplying the highest exponent prime factors to calculate the LCM of 27916 and 27931.

LCM(27916,27931) = 2² × 7¹ × 997¹ × 17¹ × 31¹ × 53¹
LCM(27916,27931) = 779721796