What is the Least Common Multiple of 20217 and 20235?

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 20217 and 20235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20217 and 20235, than apply into the LCM equation.

GCF(20217,20235) = 3
LCM(20217,20235) = ( 20217 × 20235) / 3
LCM(20217,20235) = 409090995 / 3
LCM(20217,20235) = 136363665

Least Common Multiple (LCM) of 20217 and 20235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20217 and 20235. First we will calculate the prime factors of 20217 and 20235.

Prime Factorization of 20217

Prime Factorization of 20235

Now multiplying the highest exponent prime factors to calculate the LCM of 20217 and 20235.

LCM(20217,20235) = 3¹ × 23¹ × 293¹ × 5¹ × 19¹ × 71¹
LCM(20217,20235) = 136363665