What is the Least Common Multiple of 87834 and 87849?

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 87834 and 87849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87834 and 87849, than apply into the LCM equation.

GCF(87834,87849) = 3
LCM(87834,87849) = ( 87834 × 87849) / 3
LCM(87834,87849) = 7716129066 / 3
LCM(87834,87849) = 2572043022

Least Common Multiple (LCM) of 87834 and 87849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87834 and 87849. First we will calculate the prime factors of 87834 and 87849.

Prime Factorization of 87834

Prime Factorization of 87849

Now multiplying the highest exponent prime factors to calculate the LCM of 87834 and 87849.

LCM(87834,87849) = 2¹ × 3² × 14639¹ × 43¹ × 227¹
LCM(87834,87849) = 2572043022