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What is the Least Common Multiple of 17424 and 17444?

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 (LCM) of 17424 and 17444 is 75986064.

LCM(17424,17444) = 75986064

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Least Common Multiple of 17424 and 17444 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 17444, than apply into the LCM equation.

GCF(17424,17444) = 4
LCM(17424,17444) = ( 17424 × 17444) / 4
LCM(17424,17444) = 303944256 / 4
LCM(17424,17444) = 75986064

Least Common Multiple (LCM) of 17424 and 17444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17424 and 17444. First we will calculate the prime factors of 17424 and 17444.

Prime Factorization of 17424

Prime factors of 17424 are 2, 3, 11. Prime factorization of 17424 in exponential form is:

17424 = 24 × 32 × 112

Prime Factorization of 17444

Prime factors of 17444 are 2, 7, 89. Prime factorization of 17444 in exponential form is:

17444 = 22 × 72 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 17424 and 17444.

LCM(17424,17444) = 24 × 32 × 112 × 72 × 891
LCM(17424,17444) = 75986064