What is the Least Common Multiple of 62804 and 62810?

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 62804 and 62810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62804 and 62810, than apply into the LCM equation.

GCF(62804,62810) = 2
LCM(62804,62810) = ( 62804 × 62810) / 2
LCM(62804,62810) = 3944719240 / 2
LCM(62804,62810) = 1972359620

Least Common Multiple (LCM) of 62804 and 62810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62804 and 62810. First we will calculate the prime factors of 62804 and 62810.

Prime Factorization of 62804

Prime Factorization of 62810

Now multiplying the highest exponent prime factors to calculate the LCM of 62804 and 62810.

LCM(62804,62810) = 2² × 7¹ × 2243¹ × 5¹ × 11¹ × 571¹
LCM(62804,62810) = 1972359620