What is the Least Common Multiple of 82458 and 82478?

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 82478 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 82478, than apply into the LCM equation.

GCF(82458,82478) = 2
LCM(82458,82478) = ( 82458 × 82478) / 2
LCM(82458,82478) = 6800970924 / 2
LCM(82458,82478) = 3400485462

Least Common Multiple (LCM) of 82458 and 82478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82458 and 82478. First we will calculate the prime factors of 82458 and 82478.

Prime Factorization of 82458

Prime Factorization of 82478

Now multiplying the highest exponent prime factors to calculate the LCM of 82458 and 82478.

LCM(82458,82478) = 2¹ × 3⁴ × 509¹ × 11¹ × 23¹ × 163¹
LCM(82458,82478) = 3400485462