What is the Least Common Multiple of 42874 and 42887?

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 42874 and 42887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42874 and 42887, than apply into the LCM equation.

GCF(42874,42887) = 13
LCM(42874,42887) = ( 42874 × 42887) / 13
LCM(42874,42887) = 1838737238 / 13
LCM(42874,42887) = 141441326

Least Common Multiple (LCM) of 42874 and 42887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42874 and 42887. First we will calculate the prime factors of 42874 and 42887.

Prime Factorization of 42874

Prime Factorization of 42887

Now multiplying the highest exponent prime factors to calculate the LCM of 42874 and 42887.

LCM(42874,42887) = 2¹ × 13¹ × 17¹ × 97¹ × 3299¹
LCM(42874,42887) = 141441326