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What is the Least Common Multiple of 57182 and 57200?

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 57182 and 57200 is 1635405200.

LCM(57182,57200) = 1635405200

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Least Common Multiple of 57182 and 57200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57182 and 57200, than apply into the LCM equation.

GCF(57182,57200) = 2
LCM(57182,57200) = ( 57182 × 57200) / 2
LCM(57182,57200) = 3270810400 / 2
LCM(57182,57200) = 1635405200

Least Common Multiple (LCM) of 57182 and 57200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57182 and 57200. First we will calculate the prime factors of 57182 and 57200.

Prime Factorization of 57182

Prime factors of 57182 are 2, 28591. Prime factorization of 57182 in exponential form is:

57182 = 21 × 285911

Prime Factorization of 57200

Prime factors of 57200 are 2, 5, 11, 13. Prime factorization of 57200 in exponential form is:

57200 = 24 × 52 × 111 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 57182 and 57200.

LCM(57182,57200) = 24 × 285911 × 52 × 111 × 131
LCM(57182,57200) = 1635405200