What is the Least Common Multiple of 84884 and 84889?

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 84884 and 84889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84884 and 84889, than apply into the LCM equation.

GCF(84884,84889) = 1
LCM(84884,84889) = ( 84884 × 84889) / 1
LCM(84884,84889) = 7205717876 / 1
LCM(84884,84889) = 7205717876

Least Common Multiple (LCM) of 84884 and 84889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84884 and 84889. First we will calculate the prime factors of 84884 and 84889.

Prime Factorization of 84884

Prime Factorization of 84889

Now multiplying the highest exponent prime factors to calculate the LCM of 84884 and 84889.

LCM(84884,84889) = 2² × 21221¹ × 7¹ × 67¹ × 181¹
LCM(84884,84889) = 7205717876