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What is the Least Common Multiple of 17922 and 17931?

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 17922 and 17931 is 107119794.

LCM(17922,17931) = 107119794

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Least Common Multiple of 17922 and 17931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17922 and 17931, than apply into the LCM equation.

GCF(17922,17931) = 3
LCM(17922,17931) = ( 17922 × 17931) / 3
LCM(17922,17931) = 321359382 / 3
LCM(17922,17931) = 107119794

Least Common Multiple (LCM) of 17922 and 17931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17922 and 17931. First we will calculate the prime factors of 17922 and 17931.

Prime Factorization of 17922

Prime factors of 17922 are 2, 3, 29, 103. Prime factorization of 17922 in exponential form is:

17922 = 21 × 31 × 291 × 1031

Prime Factorization of 17931

Prime factors of 17931 are 3, 43, 139. Prime factorization of 17931 in exponential form is:

17931 = 31 × 431 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 17922 and 17931.

LCM(17922,17931) = 21 × 31 × 291 × 1031 × 431 × 1391
LCM(17922,17931) = 107119794