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What is the Least Common Multiple of 57112 and 57117?

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 57112 and 57117 is 3262066104.

LCM(57112,57117) = 3262066104

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Least Common Multiple of 57112 and 57117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57112 and 57117, than apply into the LCM equation.

GCF(57112,57117) = 1
LCM(57112,57117) = ( 57112 × 57117) / 1
LCM(57112,57117) = 3262066104 / 1
LCM(57112,57117) = 3262066104

Least Common Multiple (LCM) of 57112 and 57117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57112 and 57117. First we will calculate the prime factors of 57112 and 57117.

Prime Factorization of 57112

Prime factors of 57112 are 2, 11, 59. Prime factorization of 57112 in exponential form is:

57112 = 23 × 112 × 591

Prime Factorization of 57117

Prime factors of 57117 are 3, 79, 241. Prime factorization of 57117 in exponential form is:

57117 = 31 × 791 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 57112 and 57117.

LCM(57112,57117) = 23 × 112 × 591 × 31 × 791 × 2411
LCM(57112,57117) = 3262066104