What is the Least Common Multiple of 20340 and 20345?

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 20340 and 20345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20340 and 20345, than apply into the LCM equation.

GCF(20340,20345) = 5
LCM(20340,20345) = ( 20340 × 20345) / 5
LCM(20340,20345) = 413817300 / 5
LCM(20340,20345) = 82763460

Least Common Multiple (LCM) of 20340 and 20345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20340 and 20345. First we will calculate the prime factors of 20340 and 20345.

Prime Factorization of 20340

Prime Factorization of 20345

Now multiplying the highest exponent prime factors to calculate the LCM of 20340 and 20345.

LCM(20340,20345) = 2² × 3² × 5¹ × 113¹ × 13¹ × 313¹
LCM(20340,20345) = 82763460