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What is the Least Common Multiple of 3145 and 3161?

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 3145 and 3161 is 9941345.

LCM(3145,3161) = 9941345

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Least Common Multiple of 3145 and 3161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3145 and 3161, than apply into the LCM equation.

GCF(3145,3161) = 1
LCM(3145,3161) = ( 3145 × 3161) / 1
LCM(3145,3161) = 9941345 / 1
LCM(3145,3161) = 9941345

Least Common Multiple (LCM) of 3145 and 3161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3145 and 3161. First we will calculate the prime factors of 3145 and 3161.

Prime Factorization of 3145

Prime factors of 3145 are 5, 17, 37. Prime factorization of 3145 in exponential form is:

3145 = 51 × 171 × 371

Prime Factorization of 3161

Prime factors of 3161 are 29, 109. Prime factorization of 3161 in exponential form is:

3161 = 291 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 3145 and 3161.

LCM(3145,3161) = 51 × 171 × 371 × 291 × 1091
LCM(3145,3161) = 9941345