What is the Least Common Multiple of 14764 and 14782?

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 14764 and 14782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14764 and 14782, than apply into the LCM equation.

GCF(14764,14782) = 2
LCM(14764,14782) = ( 14764 × 14782) / 2
LCM(14764,14782) = 218241448 / 2
LCM(14764,14782) = 109120724

Least Common Multiple (LCM) of 14764 and 14782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14764 and 14782. First we will calculate the prime factors of 14764 and 14782.

Prime Factorization of 14764

Prime Factorization of 14782

Now multiplying the highest exponent prime factors to calculate the LCM of 14764 and 14782.

LCM(14764,14782) = 2² × 3691¹ × 19¹ × 389¹
LCM(14764,14782) = 109120724