What is the Least Common Multiple of 14889 and 14904?

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 14889 and 14904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14889 and 14904, than apply into the LCM equation.

GCF(14889,14904) = 3
LCM(14889,14904) = ( 14889 × 14904) / 3
LCM(14889,14904) = 221905656 / 3
LCM(14889,14904) = 73968552

Least Common Multiple (LCM) of 14889 and 14904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14889 and 14904. First we will calculate the prime factors of 14889 and 14904.

Prime Factorization of 14889

Prime Factorization of 14904

Now multiplying the highest exponent prime factors to calculate the LCM of 14889 and 14904.

LCM(14889,14904) = 3⁴ × 7¹ × 709¹ × 2³ × 23¹
LCM(14889,14904) = 73968552