What is the Least Common Multiple of 20888 and 20898?

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 20888 and 20898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20888 and 20898, than apply into the LCM equation.

GCF(20888,20898) = 2
LCM(20888,20898) = ( 20888 × 20898) / 2
LCM(20888,20898) = 436517424 / 2
LCM(20888,20898) = 218258712

Least Common Multiple (LCM) of 20888 and 20898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20888 and 20898. First we will calculate the prime factors of 20888 and 20898.

Prime Factorization of 20888

Prime Factorization of 20898

Now multiplying the highest exponent prime factors to calculate the LCM of 20888 and 20898.

LCM(20888,20898) = 2³ × 7¹ × 373¹ × 3⁵ × 43¹
LCM(20888,20898) = 218258712