What is the Least Common Multiple of 14658 and 14665?

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 14658 and 14665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14658 and 14665, than apply into the LCM equation.

GCF(14658,14665) = 7
LCM(14658,14665) = ( 14658 × 14665) / 7
LCM(14658,14665) = 214959570 / 7
LCM(14658,14665) = 30708510

Least Common Multiple (LCM) of 14658 and 14665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14658 and 14665. First we will calculate the prime factors of 14658 and 14665.

Prime Factorization of 14658

Prime Factorization of 14665

Now multiplying the highest exponent prime factors to calculate the LCM of 14658 and 14665.

LCM(14658,14665) = 2¹ × 3¹ × 7¹ × 349¹ × 5¹ × 419¹
LCM(14658,14665) = 30708510