What is the Least Common Multiple of 14781 and 14797?

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 14781 and 14797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14781 and 14797, than apply into the LCM equation.

GCF(14781,14797) = 1
LCM(14781,14797) = ( 14781 × 14797) / 1
LCM(14781,14797) = 218714457 / 1
LCM(14781,14797) = 218714457

Least Common Multiple (LCM) of 14781 and 14797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14781 and 14797. First we will calculate the prime factors of 14781 and 14797.

Prime Factorization of 14781

Prime Factorization of 14797

Now multiplying the highest exponent prime factors to calculate the LCM of 14781 and 14797.

LCM(14781,14797) = 3¹ × 13¹ × 379¹ × 14797¹
LCM(14781,14797) = 218714457