What is the Least Common Multiple of 20230 and 20242?

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 20230 and 20242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20230 and 20242, than apply into the LCM equation.

GCF(20230,20242) = 2
LCM(20230,20242) = ( 20230 × 20242) / 2
LCM(20230,20242) = 409495660 / 2
LCM(20230,20242) = 204747830

Least Common Multiple (LCM) of 20230 and 20242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20230 and 20242. First we will calculate the prime factors of 20230 and 20242.

Prime Factorization of 20230

Prime Factorization of 20242

Now multiplying the highest exponent prime factors to calculate the LCM of 20230 and 20242.

LCM(20230,20242) = 2¹ × 5¹ × 7¹ × 17² × 29¹ × 349¹
LCM(20230,20242) = 204747830