What is the Least Common Multiple of 20345 and 20354?

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 20345 and 20354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20345 and 20354, than apply into the LCM equation.

GCF(20345,20354) = 1
LCM(20345,20354) = ( 20345 × 20354) / 1
LCM(20345,20354) = 414102130 / 1
LCM(20345,20354) = 414102130

Least Common Multiple (LCM) of 20345 and 20354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20345 and 20354. First we will calculate the prime factors of 20345 and 20354.

Prime Factorization of 20345

Prime Factorization of 20354

Now multiplying the highest exponent prime factors to calculate the LCM of 20345 and 20354.

LCM(20345,20354) = 5¹ × 13¹ × 313¹ × 2¹ × 10177¹
LCM(20345,20354) = 414102130