What is the Least Common Multiple of 82604 and 82608?

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 82604 and 82608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82604 and 82608, than apply into the LCM equation.

GCF(82604,82608) = 4
LCM(82604,82608) = ( 82604 × 82608) / 4
LCM(82604,82608) = 6823751232 / 4
LCM(82604,82608) = 1705937808

Least Common Multiple (LCM) of 82604 and 82608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82604 and 82608. First we will calculate the prime factors of 82604 and 82608.

Prime Factorization of 82604

Prime Factorization of 82608

Now multiplying the highest exponent prime factors to calculate the LCM of 82604 and 82608.

LCM(82604,82608) = 2⁴ × 107¹ × 193¹ × 3¹ × 1721¹
LCM(82604,82608) = 1705937808