What is the Least Common Multiple of 75800 and 75812?

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 75800 and 75812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75800 and 75812, than apply into the LCM equation.

GCF(75800,75812) = 4
LCM(75800,75812) = ( 75800 × 75812) / 4
LCM(75800,75812) = 5746549600 / 4
LCM(75800,75812) = 1436637400

Least Common Multiple (LCM) of 75800 and 75812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75800 and 75812. First we will calculate the prime factors of 75800 and 75812.

Prime Factorization of 75800

Prime Factorization of 75812

Now multiplying the highest exponent prime factors to calculate the LCM of 75800 and 75812.

LCM(75800,75812) = 2³ × 5² × 379¹ × 11¹ × 1723¹
LCM(75800,75812) = 1436637400