What is the Least Common Multiple of 53313 and 53321?

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 53313 and 53321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53313 and 53321, than apply into the LCM equation.

GCF(53313,53321) = 1
LCM(53313,53321) = ( 53313 × 53321) / 1
LCM(53313,53321) = 2842702473 / 1
LCM(53313,53321) = 2842702473

Least Common Multiple (LCM) of 53313 and 53321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53313 and 53321. First we will calculate the prime factors of 53313 and 53321.

Prime Factorization of 53313

Prime Factorization of 53321

Now multiplying the highest exponent prime factors to calculate the LCM of 53313 and 53321.

LCM(53313,53321) = 3¹ × 13¹ × 1367¹ × 71¹ × 751¹
LCM(53313,53321) = 2842702473