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What is the Least Common Multiple of 57086 and 57104?

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 57086 and 57104 is 1629919472.

LCM(57086,57104) = 1629919472

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Least Common Multiple of 57086 and 57104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57086 and 57104, than apply into the LCM equation.

GCF(57086,57104) = 2
LCM(57086,57104) = ( 57086 × 57104) / 2
LCM(57086,57104) = 3259838944 / 2
LCM(57086,57104) = 1629919472

Least Common Multiple (LCM) of 57086 and 57104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57086 and 57104. First we will calculate the prime factors of 57086 and 57104.

Prime Factorization of 57086

Prime factors of 57086 are 2, 17, 23, 73. Prime factorization of 57086 in exponential form is:

57086 = 21 × 171 × 231 × 731

Prime Factorization of 57104

Prime factors of 57104 are 2, 43, 83. Prime factorization of 57104 in exponential form is:

57104 = 24 × 431 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 57086 and 57104.

LCM(57086,57104) = 24 × 171 × 231 × 731 × 431 × 831
LCM(57086,57104) = 1629919472