What is the Least Common Multiple of 20293 and 20306?

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 20293 and 20306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20293 and 20306, than apply into the LCM equation.

GCF(20293,20306) = 13
LCM(20293,20306) = ( 20293 × 20306) / 13
LCM(20293,20306) = 412069658 / 13
LCM(20293,20306) = 31697666

Least Common Multiple (LCM) of 20293 and 20306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20293 and 20306. First we will calculate the prime factors of 20293 and 20306.

Prime Factorization of 20293

Prime Factorization of 20306

Now multiplying the highest exponent prime factors to calculate the LCM of 20293 and 20306.

LCM(20293,20306) = 7¹ × 13¹ × 223¹ × 2¹ × 11¹ × 71¹
LCM(20293,20306) = 31697666