What is the Least Common Multiple of 84840 and 84849?

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 84840 and 84849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84840 and 84849, than apply into the LCM equation.

GCF(84840,84849) = 3
LCM(84840,84849) = ( 84840 × 84849) / 3
LCM(84840,84849) = 7198589160 / 3
LCM(84840,84849) = 2399529720

Least Common Multiple (LCM) of 84840 and 84849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84840 and 84849. First we will calculate the prime factors of 84840 and 84849.

Prime Factorization of 84840

Prime Factorization of 84849

Now multiplying the highest exponent prime factors to calculate the LCM of 84840 and 84849.

LCM(84840,84849) = 2³ × 3¹ × 5¹ × 7¹ × 101¹ × 28283¹
LCM(84840,84849) = 2399529720