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What is the Least Common Multiple of 57104 and 57116?

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 57104 and 57116 is 815388016.

LCM(57104,57116) = 815388016

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Least Common Multiple of 57104 and 57116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57104 and 57116, than apply into the LCM equation.

GCF(57104,57116) = 4
LCM(57104,57116) = ( 57104 × 57116) / 4
LCM(57104,57116) = 3261552064 / 4
LCM(57104,57116) = 815388016

Least Common Multiple (LCM) of 57104 and 57116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57104 and 57116. First we will calculate the prime factors of 57104 and 57116.

Prime Factorization of 57104

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

57104 = 24 × 431 × 831

Prime Factorization of 57116

Prime factors of 57116 are 2, 109, 131. Prime factorization of 57116 in exponential form is:

57116 = 22 × 1091 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 57104 and 57116.

LCM(57104,57116) = 24 × 431 × 831 × 1091 × 1311
LCM(57104,57116) = 815388016