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Least Common Multiple of 9139 and 9156

Least common multiple (LCM) of 9139 and 9156 is 83676684.

LCM(9139,9156) = 83676684

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.

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Least Common Multiple of 9139 and 9156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9139 and 9156, than apply into the LCM equation.

GCF(9139,9156) = 1
LCM(9139,9156) = ( 9139 × 9156) / 1
LCM(9139,9156) = 83676684 / 1
LCM(9139,9156) = 83676684

Least Common Multiple (LCM) of 9139 and 9156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9139 and 9156. First we will calculate the prime factors of 9139 and 9156.

Prime Factorization of 9139

Prime factors of 9139 are 13, 19, 37. Prime factorization of 9139 in exponential form is:

9139 = 131 × 191 × 371

Prime Factorization of 9156

Prime factors of 9156 are 2, 3, 7, 109. Prime factorization of 9156 in exponential form is:

9156 = 22 × 31 × 71 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 9139 and 9156.

LCM(9139,9156) = 131 × 191 × 371 × 22 × 31 × 71 × 1091
LCM(9139,9156) = 83676684

Recent Comments
Shiyna 2019-06-12 09:45:00

Very nice

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