What is the Least Common Multiple of 53301 and 53309?

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 53301 and 53309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53301 and 53309, than apply into the LCM equation.

GCF(53301,53309) = 1
LCM(53301,53309) = ( 53301 × 53309) / 1
LCM(53301,53309) = 2841423009 / 1
LCM(53301,53309) = 2841423009

Least Common Multiple (LCM) of 53301 and 53309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53301 and 53309. First we will calculate the prime factors of 53301 and 53309.

Prime Factorization of 53301

Prime Factorization of 53309

Now multiplying the highest exponent prime factors to calculate the LCM of 53301 and 53309.

LCM(53301,53309) = 3¹ × 109¹ × 163¹ × 53309¹
LCM(53301,53309) = 2841423009