What is the Least Common Multiple of 62800 and 62812?

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 62800 and 62812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62800 and 62812, than apply into the LCM equation.

GCF(62800,62812) = 4
LCM(62800,62812) = ( 62800 × 62812) / 4
LCM(62800,62812) = 3944593600 / 4
LCM(62800,62812) = 986148400

Least Common Multiple (LCM) of 62800 and 62812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62800 and 62812. First we will calculate the prime factors of 62800 and 62812.

Prime Factorization of 62800

Prime Factorization of 62812

Now multiplying the highest exponent prime factors to calculate the LCM of 62800 and 62812.

LCM(62800,62812) = 2⁴ × 5² × 157¹ × 41¹ × 383¹
LCM(62800,62812) = 986148400