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What is the Least Common Multiple of 93132 and 93141?

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 93132 and 93141 is 963823068.

LCM(93132,93141) = 963823068

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Least Common Multiple of 93132 and 93141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93132 and 93141, than apply into the LCM equation.

GCF(93132,93141) = 9
LCM(93132,93141) = ( 93132 × 93141) / 9
LCM(93132,93141) = 8674407612 / 9
LCM(93132,93141) = 963823068

Least Common Multiple (LCM) of 93132 and 93141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93132 and 93141. First we will calculate the prime factors of 93132 and 93141.

Prime Factorization of 93132

Prime factors of 93132 are 2, 3, 13, 199. Prime factorization of 93132 in exponential form is:

93132 = 22 × 32 × 131 × 1991

Prime Factorization of 93141

Prime factors of 93141 are 3, 79, 131. Prime factorization of 93141 in exponential form is:

93141 = 32 × 791 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 93132 and 93141.

LCM(93132,93141) = 22 × 32 × 131 × 1991 × 791 × 1311
LCM(93132,93141) = 963823068