What is the Least Common Multiple of 52423 and 52442?

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 52423 and 52442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52423 and 52442, than apply into the LCM equation.

GCF(52423,52442) = 1
LCM(52423,52442) = ( 52423 × 52442) / 1
LCM(52423,52442) = 2749166966 / 1
LCM(52423,52442) = 2749166966

Least Common Multiple (LCM) of 52423 and 52442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52423 and 52442. First we will calculate the prime factors of 52423 and 52442.

Prime Factorization of 52423

Prime Factorization of 52442

Now multiplying the highest exponent prime factors to calculate the LCM of 52423 and 52442.

LCM(52423,52442) = 7¹ × 7489¹ × 2¹ × 13¹ × 2017¹
LCM(52423,52442) = 2749166966