What is the Least Common Multiple of 20330 and 20339?

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 20330 and 20339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20330 and 20339, than apply into the LCM equation.

GCF(20330,20339) = 1
LCM(20330,20339) = ( 20330 × 20339) / 1
LCM(20330,20339) = 413491870 / 1
LCM(20330,20339) = 413491870

Least Common Multiple (LCM) of 20330 and 20339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20330 and 20339. First we will calculate the prime factors of 20330 and 20339.

Prime Factorization of 20330

Prime Factorization of 20339

Now multiplying the highest exponent prime factors to calculate the LCM of 20330 and 20339.

LCM(20330,20339) = 2¹ × 5¹ × 19¹ × 107¹ × 11¹ × 43²
LCM(20330,20339) = 413491870