What is the Least Common Multiple of 27991 and 28001?

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 27991 and 28001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27991 and 28001, than apply into the LCM equation.

GCF(27991,28001) = 1
LCM(27991,28001) = ( 27991 × 28001) / 1
LCM(27991,28001) = 783775991 / 1
LCM(27991,28001) = 783775991

Least Common Multiple (LCM) of 27991 and 28001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27991 and 28001. First we will calculate the prime factors of 27991 and 28001.

Prime Factorization of 27991

Prime Factorization of 28001

Now multiplying the highest exponent prime factors to calculate the LCM of 27991 and 28001.

LCM(27991,28001) = 23¹ × 1217¹ × 28001¹
LCM(27991,28001) = 783775991