What is the Least Common Multiple of 35785 and 35792?

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 35792 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 35792, than apply into the LCM equation.

GCF(35785,35792) = 1
LCM(35785,35792) = ( 35785 × 35792) / 1
LCM(35785,35792) = 1280816720 / 1
LCM(35785,35792) = 1280816720

Least Common Multiple (LCM) of 35785 and 35792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35785 and 35792. First we will calculate the prime factors of 35785 and 35792.

Prime Factorization of 35785

Prime Factorization of 35792

Now multiplying the highest exponent prime factors to calculate the LCM of 35785 and 35792.

LCM(35785,35792) = 5¹ × 17¹ × 421¹ × 2⁴ × 2237¹
LCM(35785,35792) = 1280816720