What is the Least Common Multiple of 27982 and 27998?

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 27982 and 27998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27982 and 27998, than apply into the LCM equation.

GCF(27982,27998) = 2
LCM(27982,27998) = ( 27982 × 27998) / 2
LCM(27982,27998) = 783440036 / 2
LCM(27982,27998) = 391720018

Least Common Multiple (LCM) of 27982 and 27998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27982 and 27998. First we will calculate the prime factors of 27982 and 27998.

Prime Factorization of 27982

Prime Factorization of 27998

Now multiplying the highest exponent prime factors to calculate the LCM of 27982 and 27998.

LCM(27982,27998) = 2¹ × 17¹ × 823¹ × 13999¹
LCM(27982,27998) = 391720018