What is the Least Common Multiple of 82458 and 82464?

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 82458 and 82464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82458 and 82464, than apply into the LCM equation.

GCF(82458,82464) = 6
LCM(82458,82464) = ( 82458 × 82464) / 6
LCM(82458,82464) = 6799816512 / 6
LCM(82458,82464) = 1133302752

Least Common Multiple (LCM) of 82458 and 82464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82458 and 82464. First we will calculate the prime factors of 82458 and 82464.

Prime Factorization of 82458

Prime Factorization of 82464

Now multiplying the highest exponent prime factors to calculate the LCM of 82458 and 82464.

LCM(82458,82464) = 2⁵ × 3⁴ × 509¹ × 859¹
LCM(82458,82464) = 1133302752