What is the Least Common Multiple of 20319 and 20335?

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 20319 and 20335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20319 and 20335, than apply into the LCM equation.

GCF(20319,20335) = 1
LCM(20319,20335) = ( 20319 × 20335) / 1
LCM(20319,20335) = 413186865 / 1
LCM(20319,20335) = 413186865

Least Common Multiple (LCM) of 20319 and 20335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20319 and 20335. First we will calculate the prime factors of 20319 and 20335.

Prime Factorization of 20319

Prime Factorization of 20335

Now multiplying the highest exponent prime factors to calculate the LCM of 20319 and 20335.

LCM(20319,20335) = 3¹ × 13¹ × 521¹ × 5¹ × 7² × 83¹
LCM(20319,20335) = 413186865