What is the Least Common Multiple of 36707 and 36721?

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 36707 and 36721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36707 and 36721, than apply into the LCM equation.

GCF(36707,36721) = 1
LCM(36707,36721) = ( 36707 × 36721) / 1
LCM(36707,36721) = 1347917747 / 1
LCM(36707,36721) = 1347917747

Least Common Multiple (LCM) of 36707 and 36721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36707 and 36721. First we will calculate the prime factors of 36707 and 36721.

Prime Factorization of 36707

Prime Factorization of 36721

Now multiplying the highest exponent prime factors to calculate the LCM of 36707 and 36721.

LCM(36707,36721) = 11¹ × 47¹ × 71¹ × 36721¹
LCM(36707,36721) = 1347917747