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What is the Least Common Multiple of 17927 and 17944?

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 17927 and 17944 is 321682088.

LCM(17927,17944) = 321682088

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Least Common Multiple of 17927 and 17944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17927 and 17944, than apply into the LCM equation.

GCF(17927,17944) = 1
LCM(17927,17944) = ( 17927 × 17944) / 1
LCM(17927,17944) = 321682088 / 1
LCM(17927,17944) = 321682088

Least Common Multiple (LCM) of 17927 and 17944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17927 and 17944. First we will calculate the prime factors of 17927 and 17944.

Prime Factorization of 17927

Prime factors of 17927 are 7, 13, 197. Prime factorization of 17927 in exponential form is:

17927 = 71 × 131 × 1971

Prime Factorization of 17944

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

17944 = 23 × 22431

Now multiplying the highest exponent prime factors to calculate the LCM of 17927 and 17944.

LCM(17927,17944) = 71 × 131 × 1971 × 23 × 22431
LCM(17927,17944) = 321682088