What is the Least Common Multiple of 42523 and 42542?

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 42523 and 42542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42523 and 42542, than apply into the LCM equation.

GCF(42523,42542) = 1
LCM(42523,42542) = ( 42523 × 42542) / 1
LCM(42523,42542) = 1809013466 / 1
LCM(42523,42542) = 1809013466

Least Common Multiple (LCM) of 42523 and 42542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42523 and 42542. First we will calculate the prime factors of 42523 and 42542.

Prime Factorization of 42523

Prime Factorization of 42542

Now multiplying the highest exponent prime factors to calculate the LCM of 42523 and 42542.

LCM(42523,42542) = 13¹ × 3271¹ × 2¹ × 89¹ × 239¹
LCM(42523,42542) = 1809013466