What is the Least Common Multiple of 20219 and 20237?

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 20219 and 20237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20219 and 20237, than apply into the LCM equation.

GCF(20219,20237) = 1
LCM(20219,20237) = ( 20219 × 20237) / 1
LCM(20219,20237) = 409171903 / 1
LCM(20219,20237) = 409171903

Least Common Multiple (LCM) of 20219 and 20237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20219 and 20237. First we will calculate the prime factors of 20219 and 20237.

Prime Factorization of 20219

Prime Factorization of 20237

Now multiplying the highest exponent prime factors to calculate the LCM of 20219 and 20237.

LCM(20219,20237) = 20219¹ × 7³ × 59¹
LCM(20219,20237) = 409171903