What is the Least Common Multiple of 79824 and 79842?

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 79842 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 79842, than apply into the LCM equation.

GCF(79824,79842) = 6
LCM(79824,79842) = ( 79824 × 79842) / 6
LCM(79824,79842) = 6373307808 / 6
LCM(79824,79842) = 1062217968

Least Common Multiple (LCM) of 79824 and 79842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79824 and 79842. First we will calculate the prime factors of 79824 and 79842.

Prime Factorization of 79824

Prime Factorization of 79842

Now multiplying the highest exponent prime factors to calculate the LCM of 79824 and 79842.

LCM(79824,79842) = 2⁴ × 3¹ × 1663¹ × 7¹ × 1901¹
LCM(79824,79842) = 1062217968