What is the Least Common Multiple of 42790 and 42809?

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 42790 and 42809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42790 and 42809, than apply into the LCM equation.

GCF(42790,42809) = 1
LCM(42790,42809) = ( 42790 × 42809) / 1
LCM(42790,42809) = 1831797110 / 1
LCM(42790,42809) = 1831797110

Least Common Multiple (LCM) of 42790 and 42809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42790 and 42809. First we will calculate the prime factors of 42790 and 42809.

Prime Factorization of 42790

Prime Factorization of 42809

Now multiplying the highest exponent prime factors to calculate the LCM of 42790 and 42809.

LCM(42790,42809) = 2¹ × 5¹ × 11¹ × 389¹ × 13¹ × 37¹ × 89¹
LCM(42790,42809) = 1831797110