What is the Least Common Multiple of 84726 and 84731?

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 84726 and 84731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84726 and 84731, than apply into the LCM equation.

GCF(84726,84731) = 1
LCM(84726,84731) = ( 84726 × 84731) / 1
LCM(84726,84731) = 7178918706 / 1
LCM(84726,84731) = 7178918706

Least Common Multiple (LCM) of 84726 and 84731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84726 and 84731. First we will calculate the prime factors of 84726 and 84731.

Prime Factorization of 84726

Prime Factorization of 84731

Now multiplying the highest exponent prime factors to calculate the LCM of 84726 and 84731.

LCM(84726,84731) = 2¹ × 3⁴ × 523¹ × 84731¹
LCM(84726,84731) = 7178918706