What is the Least Common Multiple of 14705 and 14724?

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 14705 and 14724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14705 and 14724, than apply into the LCM equation.

GCF(14705,14724) = 1
LCM(14705,14724) = ( 14705 × 14724) / 1
LCM(14705,14724) = 216516420 / 1
LCM(14705,14724) = 216516420

Least Common Multiple (LCM) of 14705 and 14724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14705 and 14724. First we will calculate the prime factors of 14705 and 14724.

Prime Factorization of 14705

Prime Factorization of 14724

Now multiplying the highest exponent prime factors to calculate the LCM of 14705 and 14724.

LCM(14705,14724) = 5¹ × 17¹ × 173¹ × 2² × 3² × 409¹
LCM(14705,14724) = 216516420