What is the Least Common Multiple of 35805 and 35809?

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 35805 and 35809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35805 and 35809, than apply into the LCM equation.

GCF(35805,35809) = 1
LCM(35805,35809) = ( 35805 × 35809) / 1
LCM(35805,35809) = 1282141245 / 1
LCM(35805,35809) = 1282141245

Least Common Multiple (LCM) of 35805 and 35809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35805 and 35809. First we will calculate the prime factors of 35805 and 35809.

Prime Factorization of 35805

Prime Factorization of 35809

Now multiplying the highest exponent prime factors to calculate the LCM of 35805 and 35809.

LCM(35805,35809) = 3¹ × 5¹ × 7¹ × 11¹ × 31¹ × 35809¹
LCM(35805,35809) = 1282141245