What is the Least Common Multiple of 42382 and 42394?

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 42382 and 42394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42382 and 42394, than apply into the LCM equation.

GCF(42382,42394) = 2
LCM(42382,42394) = ( 42382 × 42394) / 2
LCM(42382,42394) = 1796742508 / 2
LCM(42382,42394) = 898371254

Least Common Multiple (LCM) of 42382 and 42394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42382 and 42394. First we will calculate the prime factors of 42382 and 42394.

Prime Factorization of 42382

Prime Factorization of 42394

Now multiplying the highest exponent prime factors to calculate the LCM of 42382 and 42394.

LCM(42382,42394) = 2¹ × 21191¹ × 11¹ × 41¹ × 47¹
LCM(42382,42394) = 898371254