What is the Least Common Multiple of 14752 and 14760?

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 14752 and 14760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14752 and 14760, than apply into the LCM equation.

GCF(14752,14760) = 8
LCM(14752,14760) = ( 14752 × 14760) / 8
LCM(14752,14760) = 217739520 / 8
LCM(14752,14760) = 27217440

Least Common Multiple (LCM) of 14752 and 14760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14752 and 14760. First we will calculate the prime factors of 14752 and 14760.

Prime Factorization of 14752

Prime Factorization of 14760

Now multiplying the highest exponent prime factors to calculate the LCM of 14752 and 14760.

LCM(14752,14760) = 2⁵ × 461¹ × 3² × 5¹ × 41¹
LCM(14752,14760) = 27217440