What is the Least Common Multiple of 14748 and 14752?

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 14748 and 14752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14748 and 14752, than apply into the LCM equation.

GCF(14748,14752) = 4
LCM(14748,14752) = ( 14748 × 14752) / 4
LCM(14748,14752) = 217562496 / 4
LCM(14748,14752) = 54390624

Least Common Multiple (LCM) of 14748 and 14752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14748 and 14752. First we will calculate the prime factors of 14748 and 14752.

Prime Factorization of 14748

Prime Factorization of 14752

Now multiplying the highest exponent prime factors to calculate the LCM of 14748 and 14752.

LCM(14748,14752) = 2⁵ × 3¹ × 1229¹ × 461¹
LCM(14748,14752) = 54390624