What is the Least Common Multiple of 14733 and 14748?

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 14733 and 14748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14733 and 14748, than apply into the LCM equation.

GCF(14733,14748) = 3
LCM(14733,14748) = ( 14733 × 14748) / 3
LCM(14733,14748) = 217282284 / 3
LCM(14733,14748) = 72427428

Least Common Multiple (LCM) of 14733 and 14748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14733 and 14748. First we will calculate the prime factors of 14733 and 14748.

Prime Factorization of 14733

Prime Factorization of 14748

Now multiplying the highest exponent prime factors to calculate the LCM of 14733 and 14748.

LCM(14733,14748) = 3² × 1637¹ × 2² × 1229¹
LCM(14733,14748) = 72427428