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What is the Least Common Multiple of 57113 and 57132?

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 57113 and 57132 is 3262979916.

LCM(57113,57132) = 3262979916

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Least Common Multiple of 57113 and 57132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57113 and 57132, than apply into the LCM equation.

GCF(57113,57132) = 1
LCM(57113,57132) = ( 57113 × 57132) / 1
LCM(57113,57132) = 3262979916 / 1
LCM(57113,57132) = 3262979916

Least Common Multiple (LCM) of 57113 and 57132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57113 and 57132. First we will calculate the prime factors of 57113 and 57132.

Prime Factorization of 57113

Prime factors of 57113 are 7, 41, 199. Prime factorization of 57113 in exponential form is:

57113 = 71 × 411 × 1991

Prime Factorization of 57132

Prime factors of 57132 are 2, 3, 23. Prime factorization of 57132 in exponential form is:

57132 = 22 × 33 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 57113 and 57132.

LCM(57113,57132) = 71 × 411 × 1991 × 22 × 33 × 232
LCM(57113,57132) = 3262979916