What is the Least Common Multiple of 82724 and 82742?

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 82724 and 82742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82724 and 82742, than apply into the LCM equation.

GCF(82724,82742) = 2
LCM(82724,82742) = ( 82724 × 82742) / 2
LCM(82724,82742) = 6844749208 / 2
LCM(82724,82742) = 3422374604

Least Common Multiple (LCM) of 82724 and 82742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82724 and 82742. First we will calculate the prime factors of 82724 and 82742.

Prime Factorization of 82724

Prime Factorization of 82742

Now multiplying the highest exponent prime factors to calculate the LCM of 82724 and 82742.

LCM(82724,82742) = 2² × 20681¹ × 11¹ × 3761¹
LCM(82724,82742) = 3422374604