What is the Least Common Multiple of 23300 and 23313?

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 23300 and 23313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23300 and 23313, than apply into the LCM equation.

GCF(23300,23313) = 1
LCM(23300,23313) = ( 23300 × 23313) / 1
LCM(23300,23313) = 543192900 / 1
LCM(23300,23313) = 543192900

Least Common Multiple (LCM) of 23300 and 23313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23300 and 23313. First we will calculate the prime factors of 23300 and 23313.

Prime Factorization of 23300

Prime Factorization of 23313

Now multiplying the highest exponent prime factors to calculate the LCM of 23300 and 23313.

LCM(23300,23313) = 2² × 5² × 233¹ × 3¹ × 19¹ × 409¹
LCM(23300,23313) = 543192900