What is the Least Common Multiple of 20223 and 20239?

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 20223 and 20239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20223 and 20239, than apply into the LCM equation.

GCF(20223,20239) = 1
LCM(20223,20239) = ( 20223 × 20239) / 1
LCM(20223,20239) = 409293297 / 1
LCM(20223,20239) = 409293297

Least Common Multiple (LCM) of 20223 and 20239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20223 and 20239. First we will calculate the prime factors of 20223 and 20239.

Prime Factorization of 20223

Prime Factorization of 20239

Now multiplying the highest exponent prime factors to calculate the LCM of 20223 and 20239.

LCM(20223,20239) = 3³ × 7¹ × 107¹ × 37¹ × 547¹
LCM(20223,20239) = 409293297