What is the Least Common Multiple of 8009 and 8027?

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 8009 and 8027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8009 and 8027, than apply into the LCM equation.

GCF(8009,8027) = 1
LCM(8009,8027) = ( 8009 × 8027) / 1
LCM(8009,8027) = 64288243 / 1
LCM(8009,8027) = 64288243

Least Common Multiple (LCM) of 8009 and 8027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8009 and 8027. First we will calculate the prime factors of 8009 and 8027.

Prime Factorization of 8009

Prime Factorization of 8027

Now multiplying the highest exponent prime factors to calculate the LCM of 8009 and 8027.

LCM(8009,8027) = 8009¹ × 23¹ × 349¹
LCM(8009,8027) = 64288243