What is the Least Common Multiple of 45790 and 45805?

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 45790 and 45805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45790 and 45805, than apply into the LCM equation.

GCF(45790,45805) = 5
LCM(45790,45805) = ( 45790 × 45805) / 5
LCM(45790,45805) = 2097410950 / 5
LCM(45790,45805) = 419482190

Least Common Multiple (LCM) of 45790 and 45805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45790 and 45805. First we will calculate the prime factors of 45790 and 45805.

Prime Factorization of 45790

Prime Factorization of 45805

Now multiplying the highest exponent prime factors to calculate the LCM of 45790 and 45805.

LCM(45790,45805) = 2¹ × 5¹ × 19¹ × 241¹ × 9161¹
LCM(45790,45805) = 419482190