What is the Least Common Multiple of 35771 and 35791?

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 35771 and 35791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35771 and 35791, than apply into the LCM equation.

GCF(35771,35791) = 1
LCM(35771,35791) = ( 35771 × 35791) / 1
LCM(35771,35791) = 1280279861 / 1
LCM(35771,35791) = 1280279861

Least Common Multiple (LCM) of 35771 and 35791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35771 and 35791. First we will calculate the prime factors of 35771 and 35791.

Prime Factorization of 35771

Prime Factorization of 35791

Now multiplying the highest exponent prime factors to calculate the LCM of 35771 and 35791.

LCM(35771,35791) = 35771¹ × 7¹ × 5113¹
LCM(35771,35791) = 1280279861