What is the Least Common Multiple of 52302 and 52313?

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 52302 and 52313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52302 and 52313, than apply into the LCM equation.

GCF(52302,52313) = 1
LCM(52302,52313) = ( 52302 × 52313) / 1
LCM(52302,52313) = 2736074526 / 1
LCM(52302,52313) = 2736074526

Least Common Multiple (LCM) of 52302 and 52313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52302 and 52313. First we will calculate the prime factors of 52302 and 52313.

Prime Factorization of 52302

Prime Factorization of 52313

Now multiplying the highest exponent prime factors to calculate the LCM of 52302 and 52313.

LCM(52302,52313) = 2¹ × 3¹ × 23¹ × 379¹ × 52313¹
LCM(52302,52313) = 2736074526