What is the Least Common Multiple of 35768 and 35775?

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 35768 and 35775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35768 and 35775, than apply into the LCM equation.

GCF(35768,35775) = 1
LCM(35768,35775) = ( 35768 × 35775) / 1
LCM(35768,35775) = 1279600200 / 1
LCM(35768,35775) = 1279600200

Least Common Multiple (LCM) of 35768 and 35775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35768 and 35775. First we will calculate the prime factors of 35768 and 35775.

Prime Factorization of 35768

Prime Factorization of 35775

Now multiplying the highest exponent prime factors to calculate the LCM of 35768 and 35775.

LCM(35768,35775) = 2³ × 17¹ × 263¹ × 3³ × 5² × 53¹
LCM(35768,35775) = 1279600200