What is the Least Common Multiple of 84473 and 84491?

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 84473 and 84491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84473 and 84491, than apply into the LCM equation.

GCF(84473,84491) = 1
LCM(84473,84491) = ( 84473 × 84491) / 1
LCM(84473,84491) = 7137208243 / 1
LCM(84473,84491) = 7137208243

Least Common Multiple (LCM) of 84473 and 84491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84473 and 84491. First we will calculate the prime factors of 84473 and 84491.

Prime Factorization of 84473

Prime Factorization of 84491

Now multiplying the highest exponent prime factors to calculate the LCM of 84473 and 84491.

LCM(84473,84491) = 17¹ × 4969¹ × 11¹ × 7681¹
LCM(84473,84491) = 7137208243