What is the Least Common Multiple of 84801 and 84816?

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 84801 and 84816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84801 and 84816, than apply into the LCM equation.

GCF(84801,84816) = 3
LCM(84801,84816) = ( 84801 × 84816) / 3
LCM(84801,84816) = 7192481616 / 3
LCM(84801,84816) = 2397493872

Least Common Multiple (LCM) of 84801 and 84816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84801 and 84816. First we will calculate the prime factors of 84801 and 84816.

Prime Factorization of 84801

Prime Factorization of 84816

Now multiplying the highest exponent prime factors to calculate the LCM of 84801 and 84816.

LCM(84801,84816) = 3² × 23¹ × 1229¹ × 2⁴ × 19¹ × 31¹
LCM(84801,84816) = 2397493872