What is the Least Common Multiple of 70839 and 70848?

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 70839 and 70848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70839 and 70848, than apply into the LCM equation.

GCF(70839,70848) = 9
LCM(70839,70848) = ( 70839 × 70848) / 9
LCM(70839,70848) = 5018801472 / 9
LCM(70839,70848) = 557644608

Least Common Multiple (LCM) of 70839 and 70848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70839 and 70848. First we will calculate the prime factors of 70839 and 70848.

Prime Factorization of 70839

Prime Factorization of 70848

Now multiplying the highest exponent prime factors to calculate the LCM of 70839 and 70848.

LCM(70839,70848) = 3³ × 17¹ × 463¹ × 2⁶ × 41¹
LCM(70839,70848) = 557644608