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What is the Least Common Multiple of 57110 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 57110 and 57117 is 3261951870.

LCM(57110,57117) = 3261951870

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Least Common Multiple of 57110 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 57110 and 57117, than apply into the LCM equation.

GCF(57110,57117) = 1
LCM(57110,57117) = ( 57110 × 57117) / 1
LCM(57110,57117) = 3261951870 / 1
LCM(57110,57117) = 3261951870

Least Common Multiple (LCM) of 57110 and 57117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57110 and 57117. First we will calculate the prime factors of 57110 and 57117.

Prime Factorization of 57110

Prime factors of 57110 are 2, 5, 5711. Prime factorization of 57110 in exponential form is:

57110 = 21 × 51 × 57111

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 57110 and 57117.

LCM(57110,57117) = 21 × 51 × 57111 × 31 × 791 × 2411
LCM(57110,57117) = 3261951870