What is the Least Common Multiple of 82792 and 82798?

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 82792 and 82798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82792 and 82798, than apply into the LCM equation.

GCF(82792,82798) = 2
LCM(82792,82798) = ( 82792 × 82798) / 2
LCM(82792,82798) = 6855012016 / 2
LCM(82792,82798) = 3427506008

Least Common Multiple (LCM) of 82792 and 82798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82792 and 82798. First we will calculate the prime factors of 82792 and 82798.

Prime Factorization of 82792

Prime Factorization of 82798

Now multiplying the highest exponent prime factors to calculate the LCM of 82792 and 82798.

LCM(82792,82798) = 2³ × 79¹ × 131¹ × 41399¹
LCM(82792,82798) = 3427506008