What is the Least Common Multiple of 14706 and 14721?

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 14706 and 14721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14706 and 14721, than apply into the LCM equation.

GCF(14706,14721) = 3
LCM(14706,14721) = ( 14706 × 14721) / 3
LCM(14706,14721) = 216487026 / 3
LCM(14706,14721) = 72162342

Least Common Multiple (LCM) of 14706 and 14721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14706 and 14721. First we will calculate the prime factors of 14706 and 14721.

Prime Factorization of 14706

Prime Factorization of 14721

Now multiplying the highest exponent prime factors to calculate the LCM of 14706 and 14721.

LCM(14706,14721) = 2¹ × 3² × 19¹ × 43¹ × 7¹ × 701¹
LCM(14706,14721) = 72162342