What is the Least Common Multiple of 20315 and 20334?

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 20315 and 20334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20315 and 20334, than apply into the LCM equation.

GCF(20315,20334) = 1
LCM(20315,20334) = ( 20315 × 20334) / 1
LCM(20315,20334) = 413085210 / 1
LCM(20315,20334) = 413085210

Least Common Multiple (LCM) of 20315 and 20334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20315 and 20334. First we will calculate the prime factors of 20315 and 20334.

Prime Factorization of 20315

Prime Factorization of 20334

Now multiplying the highest exponent prime factors to calculate the LCM of 20315 and 20334.

LCM(20315,20334) = 5¹ × 17¹ × 239¹ × 2¹ × 3¹ × 3389¹
LCM(20315,20334) = 413085210