What is the Least Common Multiple of 87884 and 87889?

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 87884 and 87889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87884 and 87889, than apply into the LCM equation.

GCF(87884,87889) = 1
LCM(87884,87889) = ( 87884 × 87889) / 1
LCM(87884,87889) = 7724036876 / 1
LCM(87884,87889) = 7724036876

Least Common Multiple (LCM) of 87884 and 87889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87884 and 87889. First we will calculate the prime factors of 87884 and 87889.

Prime Factorization of 87884

Prime Factorization of 87889

Now multiplying the highest exponent prime factors to calculate the LCM of 87884 and 87889.

LCM(87884,87889) = 2² × 127¹ × 173¹ × 179¹ × 491¹
LCM(87884,87889) = 7724036876