What is the Least Common Multiple of 8849 and 8859?

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 8849 and 8859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8849 and 8859, than apply into the LCM equation.

GCF(8849,8859) = 1
LCM(8849,8859) = ( 8849 × 8859) / 1
LCM(8849,8859) = 78393291 / 1
LCM(8849,8859) = 78393291

Least Common Multiple (LCM) of 8849 and 8859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8849 and 8859. First we will calculate the prime factors of 8849 and 8859.

Prime Factorization of 8849

Prime Factorization of 8859

Now multiplying the highest exponent prime factors to calculate the LCM of 8849 and 8859.

LCM(8849,8859) = 8849¹ × 3¹ × 2953¹
LCM(8849,8859) = 78393291