What is the Least Common Multiple of 42782 and 42794?

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 42782 and 42794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42782 and 42794, than apply into the LCM equation.

GCF(42782,42794) = 2
LCM(42782,42794) = ( 42782 × 42794) / 2
LCM(42782,42794) = 1830812908 / 2
LCM(42782,42794) = 915406454

Least Common Multiple (LCM) of 42782 and 42794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42782 and 42794. First we will calculate the prime factors of 42782 and 42794.

Prime Factorization of 42782

Prime Factorization of 42794

Now multiplying the highest exponent prime factors to calculate the LCM of 42782 and 42794.

LCM(42782,42794) = 2¹ × 21391¹ × 21397¹
LCM(42782,42794) = 915406454