What is the Least Common Multiple of 20345 and 20358?

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 20358 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 20358, than apply into the LCM equation.

GCF(20345,20358) = 13
LCM(20345,20358) = ( 20345 × 20358) / 13
LCM(20345,20358) = 414183510 / 13
LCM(20345,20358) = 31860270

Least Common Multiple (LCM) of 20345 and 20358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20345 and 20358. First we will calculate the prime factors of 20345 and 20358.

Prime Factorization of 20345

Prime Factorization of 20358

Now multiplying the highest exponent prime factors to calculate the LCM of 20345 and 20358.

LCM(20345,20358) = 5¹ × 13¹ × 313¹ × 2¹ × 3³ × 29¹
LCM(20345,20358) = 31860270