What is the Least Common Multiple of 79824 and 79838?

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 79824 and 79838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79824 and 79838, than apply into the LCM equation.

GCF(79824,79838) = 2
LCM(79824,79838) = ( 79824 × 79838) / 2
LCM(79824,79838) = 6372988512 / 2
LCM(79824,79838) = 3186494256

Least Common Multiple (LCM) of 79824 and 79838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79824 and 79838. First we will calculate the prime factors of 79824 and 79838.

Prime Factorization of 79824

Prime Factorization of 79838

Now multiplying the highest exponent prime factors to calculate the LCM of 79824 and 79838.

LCM(79824,79838) = 2⁴ × 3¹ × 1663¹ × 11¹ × 19¹ × 191¹
LCM(79824,79838) = 3186494256