What is the Least Common Multiple of 70848 and 70857?

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 70857 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 70857, than apply into the LCM equation.

GCF(70848,70857) = 9
LCM(70848,70857) = ( 70848 × 70857) / 9
LCM(70848,70857) = 5020076736 / 9
LCM(70848,70857) = 557786304

Least Common Multiple (LCM) of 70848 and 70857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70848 and 70857. First we will calculate the prime factors of 70848 and 70857.

Prime Factorization of 70848

Prime Factorization of 70857

Now multiplying the highest exponent prime factors to calculate the LCM of 70848 and 70857.

LCM(70848,70857) = 2⁶ × 3³ × 41¹ × 7873¹
LCM(70848,70857) = 557786304