What is the Least Common Multiple of 57790 and 57805?

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 57790 and 57805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57790 and 57805, than apply into the LCM equation.

GCF(57790,57805) = 5
LCM(57790,57805) = ( 57790 × 57805) / 5
LCM(57790,57805) = 3340550950 / 5
LCM(57790,57805) = 668110190

Least Common Multiple (LCM) of 57790 and 57805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57790 and 57805. First we will calculate the prime factors of 57790 and 57805.

Prime Factorization of 57790

Prime Factorization of 57805

Now multiplying the highest exponent prime factors to calculate the LCM of 57790 and 57805.

LCM(57790,57805) = 2¹ × 5¹ × 5779¹ × 11¹ × 1051¹
LCM(57790,57805) = 668110190