What is the Least Common Multiple of 79818 and 79824?

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 79818 and 79824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79818 and 79824, than apply into the LCM equation.

GCF(79818,79824) = 6
LCM(79818,79824) = ( 79818 × 79824) / 6
LCM(79818,79824) = 6371392032 / 6
LCM(79818,79824) = 1061898672

Least Common Multiple (LCM) of 79818 and 79824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79818 and 79824. First we will calculate the prime factors of 79818 and 79824.

Prime Factorization of 79818

Prime Factorization of 79824

Now multiplying the highest exponent prime factors to calculate the LCM of 79818 and 79824.

LCM(79818,79824) = 2⁴ × 3¹ × 53¹ × 251¹ × 1663¹
LCM(79818,79824) = 1061898672