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What is the Least Common Multiple of 17440 and 17456?

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 17440 and 17456 is 19027040.

LCM(17440,17456) = 19027040

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Least Common Multiple of 17440 and 17456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17440 and 17456, than apply into the LCM equation.

GCF(17440,17456) = 16
LCM(17440,17456) = ( 17440 × 17456) / 16
LCM(17440,17456) = 304432640 / 16
LCM(17440,17456) = 19027040

Least Common Multiple (LCM) of 17440 and 17456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17440 and 17456. First we will calculate the prime factors of 17440 and 17456.

Prime Factorization of 17440

Prime factors of 17440 are 2, 5, 109. Prime factorization of 17440 in exponential form is:

17440 = 25 × 51 × 1091

Prime Factorization of 17456

Prime factors of 17456 are 2, 1091. Prime factorization of 17456 in exponential form is:

17456 = 24 × 10911

Now multiplying the highest exponent prime factors to calculate the LCM of 17440 and 17456.

LCM(17440,17456) = 25 × 51 × 1091 × 10911
LCM(17440,17456) = 19027040