What is the Least Common Multiple of 17424 and 17439?

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 17424 and 17439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17424 and 17439, than apply into the LCM equation.

GCF(17424,17439) = 3
LCM(17424,17439) = ( 17424 × 17439) / 3
LCM(17424,17439) = 303857136 / 3
LCM(17424,17439) = 101285712

Least Common Multiple (LCM) of 17424 and 17439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17424 and 17439. First we will calculate the prime factors of 17424 and 17439.

Prime Factorization of 17424

Prime Factorization of 17439

Now multiplying the highest exponent prime factors to calculate the LCM of 17424 and 17439.

LCM(17424,17439) = 2⁴ × 3² × 11² × 5813¹
LCM(17424,17439) = 101285712