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What is the Least Common Multiple of 17112 and 17116?

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 17112 and 17116 is 73222248.

LCM(17112,17116) = 73222248

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Least Common Multiple of 17112 and 17116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17112 and 17116, than apply into the LCM equation.

GCF(17112,17116) = 4
LCM(17112,17116) = ( 17112 × 17116) / 4
LCM(17112,17116) = 292888992 / 4
LCM(17112,17116) = 73222248

Least Common Multiple (LCM) of 17112 and 17116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17112 and 17116. First we will calculate the prime factors of 17112 and 17116.

Prime Factorization of 17112

Prime factors of 17112 are 2, 3, 23, 31. Prime factorization of 17112 in exponential form is:

17112 = 23 × 31 × 231 × 311

Prime Factorization of 17116

Prime factors of 17116 are 2, 11, 389. Prime factorization of 17116 in exponential form is:

17116 = 22 × 111 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 17112 and 17116.

LCM(17112,17116) = 23 × 31 × 231 × 311 × 111 × 3891
LCM(17112,17116) = 73222248