What is the Least Common Multiple of 20345 and 20356?

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 20356 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 20356, than apply into the LCM equation.

GCF(20345,20356) = 1
LCM(20345,20356) = ( 20345 × 20356) / 1
LCM(20345,20356) = 414142820 / 1
LCM(20345,20356) = 414142820

Least Common Multiple (LCM) of 20345 and 20356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20345 and 20356. First we will calculate the prime factors of 20345 and 20356.

Prime Factorization of 20345

Prime Factorization of 20356

Now multiplying the highest exponent prime factors to calculate the LCM of 20345 and 20356.

LCM(20345,20356) = 5¹ × 13¹ × 313¹ × 2² × 7¹ × 727¹
LCM(20345,20356) = 414142820