What is the Least Common Multiple of 78824 and 78839?

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 78824 and 78839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78824 and 78839, than apply into the LCM equation.

GCF(78824,78839) = 1
LCM(78824,78839) = ( 78824 × 78839) / 1
LCM(78824,78839) = 6214405336 / 1
LCM(78824,78839) = 6214405336

Least Common Multiple (LCM) of 78824 and 78839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78824 and 78839. First we will calculate the prime factors of 78824 and 78839.

Prime Factorization of 78824

Prime Factorization of 78839

Now multiplying the highest exponent prime factors to calculate the LCM of 78824 and 78839.

LCM(78824,78839) = 2³ × 59¹ × 167¹ × 78839¹
LCM(78824,78839) = 6214405336