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What is the Least Common Multiple of 17938 and 17953?

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 17938 and 17953 is 322040914.

LCM(17938,17953) = 322040914

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Least Common Multiple of 17938 and 17953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17938 and 17953, than apply into the LCM equation.

GCF(17938,17953) = 1
LCM(17938,17953) = ( 17938 × 17953) / 1
LCM(17938,17953) = 322040914 / 1
LCM(17938,17953) = 322040914

Least Common Multiple (LCM) of 17938 and 17953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17938 and 17953. First we will calculate the prime factors of 17938 and 17953.

Prime Factorization of 17938

Prime factors of 17938 are 2, 8969. Prime factorization of 17938 in exponential form is:

17938 = 21 × 89691

Prime Factorization of 17953

Prime factors of 17953 are 13, 1381. Prime factorization of 17953 in exponential form is:

17953 = 131 × 13811

Now multiplying the highest exponent prime factors to calculate the LCM of 17938 and 17953.

LCM(17938,17953) = 21 × 89691 × 131 × 13811
LCM(17938,17953) = 322040914