What is the Least Common Multiple of 3689 and 3706?

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 3689 and 3706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3689 and 3706, than apply into the LCM equation.

GCF(3689,3706) = 17
LCM(3689,3706) = ( 3689 × 3706) / 17
LCM(3689,3706) = 13671434 / 17
LCM(3689,3706) = 804202

Least Common Multiple (LCM) of 3689 and 3706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3689 and 3706. First we will calculate the prime factors of 3689 and 3706.

Prime Factorization of 3689

Prime Factorization of 3706

Now multiplying the highest exponent prime factors to calculate the LCM of 3689 and 3706.

LCM(3689,3706) = 7¹ × 17¹ × 31¹ × 2¹ × 109¹
LCM(3689,3706) = 804202