What is the Least Common Multiple of 82440 and 82458?

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 82440 and 82458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82440 and 82458, than apply into the LCM equation.

GCF(82440,82458) = 18
LCM(82440,82458) = ( 82440 × 82458) / 18
LCM(82440,82458) = 6797837520 / 18
LCM(82440,82458) = 377657640

Least Common Multiple (LCM) of 82440 and 82458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82440 and 82458. First we will calculate the prime factors of 82440 and 82458.

Prime Factorization of 82440

Prime Factorization of 82458

Now multiplying the highest exponent prime factors to calculate the LCM of 82440 and 82458.

LCM(82440,82458) = 2³ × 3⁴ × 5¹ × 229¹ × 509¹
LCM(82440,82458) = 377657640