What is the Least Common Multiple of 53300 and 53313?

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 53300 and 53313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53300 and 53313, than apply into the LCM equation.

GCF(53300,53313) = 13
LCM(53300,53313) = ( 53300 × 53313) / 13
LCM(53300,53313) = 2841582900 / 13
LCM(53300,53313) = 218583300

Least Common Multiple (LCM) of 53300 and 53313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53300 and 53313. First we will calculate the prime factors of 53300 and 53313.

Prime Factorization of 53300

Prime Factorization of 53313

Now multiplying the highest exponent prime factors to calculate the LCM of 53300 and 53313.

LCM(53300,53313) = 2² × 5² × 13¹ × 41¹ × 3¹ × 1367¹
LCM(53300,53313) = 218583300