What is the Least Common Multiple of 20306 and 20319?

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 20306 and 20319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20306 and 20319, than apply into the LCM equation.

GCF(20306,20319) = 13
LCM(20306,20319) = ( 20306 × 20319) / 13
LCM(20306,20319) = 412597614 / 13
LCM(20306,20319) = 31738278

Least Common Multiple (LCM) of 20306 and 20319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20306 and 20319. First we will calculate the prime factors of 20306 and 20319.

Prime Factorization of 20306

Prime Factorization of 20319

Now multiplying the highest exponent prime factors to calculate the LCM of 20306 and 20319.

LCM(20306,20319) = 2¹ × 11¹ × 13¹ × 71¹ × 3¹ × 521¹
LCM(20306,20319) = 31738278