What is the Least Common Multiple of 22790 and 22808?

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 22790 and 22808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22790 and 22808, than apply into the LCM equation.

GCF(22790,22808) = 2
LCM(22790,22808) = ( 22790 × 22808) / 2
LCM(22790,22808) = 519794320 / 2
LCM(22790,22808) = 259897160

Least Common Multiple (LCM) of 22790 and 22808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22790 and 22808. First we will calculate the prime factors of 22790 and 22808.

Prime Factorization of 22790

Prime Factorization of 22808

Now multiplying the highest exponent prime factors to calculate the LCM of 22790 and 22808.

LCM(22790,22808) = 2³ × 5¹ × 43¹ × 53¹ × 2851¹
LCM(22790,22808) = 259897160