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What is the Least Common Multiple of 17919 and 17932?

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 17919 and 17932 is 321323508.

LCM(17919,17932) = 321323508

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Least Common Multiple of 17919 and 17932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17919 and 17932, than apply into the LCM equation.

GCF(17919,17932) = 1
LCM(17919,17932) = ( 17919 × 17932) / 1
LCM(17919,17932) = 321323508 / 1
LCM(17919,17932) = 321323508

Least Common Multiple (LCM) of 17919 and 17932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17919 and 17932. First we will calculate the prime factors of 17919 and 17932.

Prime Factorization of 17919

Prime factors of 17919 are 3, 11, 181. Prime factorization of 17919 in exponential form is:

17919 = 32 × 111 × 1811

Prime Factorization of 17932

Prime factors of 17932 are 2, 4483. Prime factorization of 17932 in exponential form is:

17932 = 22 × 44831

Now multiplying the highest exponent prime factors to calculate the LCM of 17919 and 17932.

LCM(17919,17932) = 32 × 111 × 1811 × 22 × 44831
LCM(17919,17932) = 321323508