What is the Least Common Multiple of 20335 and 20349?

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 20335 and 20349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20335 and 20349, than apply into the LCM equation.

GCF(20335,20349) = 7
LCM(20335,20349) = ( 20335 × 20349) / 7
LCM(20335,20349) = 413796915 / 7
LCM(20335,20349) = 59113845

Least Common Multiple (LCM) of 20335 and 20349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20335 and 20349. First we will calculate the prime factors of 20335 and 20349.

Prime Factorization of 20335

Prime Factorization of 20349

Now multiplying the highest exponent prime factors to calculate the LCM of 20335 and 20349.

LCM(20335,20349) = 5¹ × 7² × 83¹ × 3² × 17¹ × 19¹
LCM(20335,20349) = 59113845