What is the Least Common Multiple of 14928 and 14946?

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 14928 and 14946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14928 and 14946, than apply into the LCM equation.

GCF(14928,14946) = 6
LCM(14928,14946) = ( 14928 × 14946) / 6
LCM(14928,14946) = 223113888 / 6
LCM(14928,14946) = 37185648

Least Common Multiple (LCM) of 14928 and 14946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14928 and 14946. First we will calculate the prime factors of 14928 and 14946.

Prime Factorization of 14928

Prime Factorization of 14946

Now multiplying the highest exponent prime factors to calculate the LCM of 14928 and 14946.

LCM(14928,14946) = 2⁴ × 3¹ × 311¹ × 47¹ × 53¹
LCM(14928,14946) = 37185648