What is the Least Common Multiple of 82488 and 82501?

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 82488 and 82501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82488 and 82501, than apply into the LCM equation.

GCF(82488,82501) = 1
LCM(82488,82501) = ( 82488 × 82501) / 1
LCM(82488,82501) = 6805342488 / 1
LCM(82488,82501) = 6805342488

Least Common Multiple (LCM) of 82488 and 82501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82488 and 82501. First we will calculate the prime factors of 82488 and 82501.

Prime Factorization of 82488

Prime Factorization of 82501

Now multiplying the highest exponent prime factors to calculate the LCM of 82488 and 82501.

LCM(82488,82501) = 2³ × 3¹ × 7¹ × 491¹ × 17¹ × 23¹ × 211¹
LCM(82488,82501) = 6805342488