What is the Least Common Multiple of 35791 and 35806?

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 35791 and 35806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35791 and 35806, than apply into the LCM equation.

GCF(35791,35806) = 1
LCM(35791,35806) = ( 35791 × 35806) / 1
LCM(35791,35806) = 1281532546 / 1
LCM(35791,35806) = 1281532546

Least Common Multiple (LCM) of 35791 and 35806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35791 and 35806. First we will calculate the prime factors of 35791 and 35806.

Prime Factorization of 35791

Prime Factorization of 35806

Now multiplying the highest exponent prime factors to calculate the LCM of 35791 and 35806.

LCM(35791,35806) = 7¹ × 5113¹ × 2¹ × 17903¹
LCM(35791,35806) = 1281532546