What is the Least Common Multiple of 52345 and 52353?

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 52345 and 52353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52345 and 52353, than apply into the LCM equation.

GCF(52345,52353) = 1
LCM(52345,52353) = ( 52345 × 52353) / 1
LCM(52345,52353) = 2740417785 / 1
LCM(52345,52353) = 2740417785

Least Common Multiple (LCM) of 52345 and 52353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52345 and 52353. First we will calculate the prime factors of 52345 and 52353.

Prime Factorization of 52345

Prime Factorization of 52353

Now multiplying the highest exponent prime factors to calculate the LCM of 52345 and 52353.

LCM(52345,52353) = 5¹ × 19² × 29¹ × 3³ × 7¹ × 277¹
LCM(52345,52353) = 2740417785