What is the Least Common Multiple of 78842 and 78848?

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 78842 and 78848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78842 and 78848, than apply into the LCM equation.

GCF(78842,78848) = 2
LCM(78842,78848) = ( 78842 × 78848) / 2
LCM(78842,78848) = 6216534016 / 2
LCM(78842,78848) = 3108267008

Least Common Multiple (LCM) of 78842 and 78848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78842 and 78848. First we will calculate the prime factors of 78842 and 78848.

Prime Factorization of 78842

Prime Factorization of 78848

Now multiplying the highest exponent prime factors to calculate the LCM of 78842 and 78848.

LCM(78842,78848) = 2¹⁰ × 79¹ × 499¹ × 7¹ × 11¹
LCM(78842,78848) = 3108267008