What is the Least Common Multiple of 14644 and 14648?

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 14644 and 14648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14644 and 14648, than apply into the LCM equation.

GCF(14644,14648) = 4
LCM(14644,14648) = ( 14644 × 14648) / 4
LCM(14644,14648) = 214505312 / 4
LCM(14644,14648) = 53626328

Least Common Multiple (LCM) of 14644 and 14648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14644 and 14648. First we will calculate the prime factors of 14644 and 14648.

Prime Factorization of 14644

Prime Factorization of 14648

Now multiplying the highest exponent prime factors to calculate the LCM of 14644 and 14648.

LCM(14644,14648) = 2³ × 7¹ × 523¹ × 1831¹
LCM(14644,14648) = 53626328