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What is the Least Common Multiple of 17944 and 17963?

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 17944 and 17963 is 322328072.

LCM(17944,17963) = 322328072

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Least Common Multiple of 17944 and 17963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17944 and 17963, than apply into the LCM equation.

GCF(17944,17963) = 1
LCM(17944,17963) = ( 17944 × 17963) / 1
LCM(17944,17963) = 322328072 / 1
LCM(17944,17963) = 322328072

Least Common Multiple (LCM) of 17944 and 17963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17944 and 17963. First we will calculate the prime factors of 17944 and 17963.

Prime Factorization of 17944

Prime factors of 17944 are 2, 2243. Prime factorization of 17944 in exponential form is:

17944 = 23 × 22431

Prime Factorization of 17963

Prime factors of 17963 are 11, 23, 71. Prime factorization of 17963 in exponential form is:

17963 = 111 × 231 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 17944 and 17963.

LCM(17944,17963) = 23 × 22431 × 111 × 231 × 711
LCM(17944,17963) = 322328072