GCF and LCM Calculator Logo

What is the Least Common Multiple of 84891 and 84910?

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 (LCM) of 84891 and 84910 is 7208094810.

LCM(84891,84910) = 7208094810

LCM Calculator and
and

Least Common Multiple of 84891 and 84910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84891 and 84910, than apply into the LCM equation.

GCF(84891,84910) = 1
LCM(84891,84910) = ( 84891 × 84910) / 1
LCM(84891,84910) = 7208094810 / 1
LCM(84891,84910) = 7208094810

Least Common Multiple (LCM) of 84891 and 84910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84891 and 84910. First we will calculate the prime factors of 84891 and 84910.

Prime Factorization of 84891

Prime factors of 84891 are 3, 28297. Prime factorization of 84891 in exponential form is:

84891 = 31 × 282971

Prime Factorization of 84910

Prime factors of 84910 are 2, 5, 7, 1213. Prime factorization of 84910 in exponential form is:

84910 = 21 × 51 × 71 × 12131

Now multiplying the highest exponent prime factors to calculate the LCM of 84891 and 84910.

LCM(84891,84910) = 31 × 282971 × 21 × 51 × 71 × 12131
LCM(84891,84910) = 7208094810