What is the Least Common Multiple of 37706 and 37723?

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 37706 and 37723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37706 and 37723, than apply into the LCM equation.

GCF(37706,37723) = 17
LCM(37706,37723) = ( 37706 × 37723) / 17
LCM(37706,37723) = 1422383438 / 17
LCM(37706,37723) = 83669614

Least Common Multiple (LCM) of 37706 and 37723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37706 and 37723. First we will calculate the prime factors of 37706 and 37723.

Prime Factorization of 37706

Prime Factorization of 37723

Now multiplying the highest exponent prime factors to calculate the LCM of 37706 and 37723.

LCM(37706,37723) = 2¹ × 17¹ × 1109¹ × 7¹ × 317¹
LCM(37706,37723) = 83669614