What is the Least Common Multiple of 82710 and 82724?

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 82710 and 82724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82710 and 82724, than apply into the LCM equation.

GCF(82710,82724) = 2
LCM(82710,82724) = ( 82710 × 82724) / 2
LCM(82710,82724) = 6842102040 / 2
LCM(82710,82724) = 3421051020

Least Common Multiple (LCM) of 82710 and 82724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82710 and 82724. First we will calculate the prime factors of 82710 and 82724.

Prime Factorization of 82710

Prime Factorization of 82724

Now multiplying the highest exponent prime factors to calculate the LCM of 82710 and 82724.

LCM(82710,82724) = 2² × 3² × 5¹ × 919¹ × 20681¹
LCM(82710,82724) = 3421051020