What is the Least Common Multiple of 70848 and 70854?

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 70848 and 70854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70848 and 70854, than apply into the LCM equation.

GCF(70848,70854) = 6
LCM(70848,70854) = ( 70848 × 70854) / 6
LCM(70848,70854) = 5019864192 / 6
LCM(70848,70854) = 836644032

Least Common Multiple (LCM) of 70848 and 70854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70848 and 70854. First we will calculate the prime factors of 70848 and 70854.

Prime Factorization of 70848

Prime Factorization of 70854

Now multiplying the highest exponent prime factors to calculate the LCM of 70848 and 70854.

LCM(70848,70854) = 2⁶ × 3³ × 41¹ × 7² × 241¹
LCM(70848,70854) = 836644032