What is the Least Common Multiple of 84854 and 84871?

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 84854 and 84871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84854 and 84871, than apply into the LCM equation.

GCF(84854,84871) = 1
LCM(84854,84871) = ( 84854 × 84871) / 1
LCM(84854,84871) = 7201643834 / 1
LCM(84854,84871) = 7201643834

Least Common Multiple (LCM) of 84854 and 84871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84854 and 84871. First we will calculate the prime factors of 84854 and 84871.

Prime Factorization of 84854

Prime Factorization of 84871

Now multiplying the highest exponent prime factors to calculate the LCM of 84854 and 84871.

LCM(84854,84871) = 2¹ × 7¹ × 11¹ × 19¹ × 29¹ × 84871¹
LCM(84854,84871) = 7201643834