What is the Least Common Multiple of 69782 and 69794?

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 69782 and 69794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69782 and 69794, than apply into the LCM equation.

GCF(69782,69794) = 2
LCM(69782,69794) = ( 69782 × 69794) / 2
LCM(69782,69794) = 4870364908 / 2
LCM(69782,69794) = 2435182454

Least Common Multiple (LCM) of 69782 and 69794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69782 and 69794. First we will calculate the prime factors of 69782 and 69794.

Prime Factorization of 69782

Prime Factorization of 69794

Now multiplying the highest exponent prime factors to calculate the LCM of 69782 and 69794.

LCM(69782,69794) = 2¹ × 23¹ × 37¹ × 41¹ × 34897¹
LCM(69782,69794) = 2435182454