What is the Least Common Multiple of 35785 and 35805?

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 35785 and 35805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35785 and 35805, than apply into the LCM equation.

GCF(35785,35805) = 5
LCM(35785,35805) = ( 35785 × 35805) / 5
LCM(35785,35805) = 1281281925 / 5
LCM(35785,35805) = 256256385

Least Common Multiple (LCM) of 35785 and 35805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35785 and 35805. First we will calculate the prime factors of 35785 and 35805.

Prime Factorization of 35785

Prime Factorization of 35805

Now multiplying the highest exponent prime factors to calculate the LCM of 35785 and 35805.

LCM(35785,35805) = 5¹ × 17¹ × 421¹ × 3¹ × 7¹ × 11¹ × 31¹
LCM(35785,35805) = 256256385