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What is the Least Common Multiple of 17905 and 17922?

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 17905 and 17922 is 320893410.

LCM(17905,17922) = 320893410

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Least Common Multiple of 17905 and 17922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17905 and 17922, than apply into the LCM equation.

GCF(17905,17922) = 1
LCM(17905,17922) = ( 17905 × 17922) / 1
LCM(17905,17922) = 320893410 / 1
LCM(17905,17922) = 320893410

Least Common Multiple (LCM) of 17905 and 17922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17905 and 17922. First we will calculate the prime factors of 17905 and 17922.

Prime Factorization of 17905

Prime factors of 17905 are 5, 3581. Prime factorization of 17905 in exponential form is:

17905 = 51 × 35811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 17905 and 17922.

LCM(17905,17922) = 51 × 35811 × 21 × 31 × 291 × 1031
LCM(17905,17922) = 320893410