What is the Least Common Multiple of 20228 and 20248?

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 20228 and 20248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20228 and 20248, than apply into the LCM equation.

GCF(20228,20248) = 4
LCM(20228,20248) = ( 20228 × 20248) / 4
LCM(20228,20248) = 409576544 / 4
LCM(20228,20248) = 102394136

Least Common Multiple (LCM) of 20228 and 20248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20228 and 20248. First we will calculate the prime factors of 20228 and 20248.

Prime Factorization of 20228

Prime Factorization of 20248

Now multiplying the highest exponent prime factors to calculate the LCM of 20228 and 20248.

LCM(20228,20248) = 2³ × 13¹ × 389¹ × 2531¹
LCM(20228,20248) = 102394136