What is the Least Common Multiple of 82451 and 82471?

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 82451 and 82471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82451 and 82471, than apply into the LCM equation.

GCF(82451,82471) = 1
LCM(82451,82471) = ( 82451 × 82471) / 1
LCM(82451,82471) = 6799816421 / 1
LCM(82451,82471) = 6799816421

Least Common Multiple (LCM) of 82451 and 82471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82451 and 82471. First we will calculate the prime factors of 82451 and 82471.

Prime Factorization of 82451

Prime Factorization of 82471

Now multiplying the highest exponent prime factors to calculate the LCM of 82451 and 82471.

LCM(82451,82471) = 41¹ × 2011¹ × 82471¹
LCM(82451,82471) = 6799816421