What is the Least Common Multiple of 8836 and 8849?

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 8836 and 8849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8836 and 8849, than apply into the LCM equation.

GCF(8836,8849) = 1
LCM(8836,8849) = ( 8836 × 8849) / 1
LCM(8836,8849) = 78189764 / 1
LCM(8836,8849) = 78189764

Least Common Multiple (LCM) of 8836 and 8849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8836 and 8849. First we will calculate the prime factors of 8836 and 8849.

Prime Factorization of 8836

Prime Factorization of 8849

Now multiplying the highest exponent prime factors to calculate the LCM of 8836 and 8849.

LCM(8836,8849) = 2² × 47² × 8849¹
LCM(8836,8849) = 78189764