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What is the Least Common Multiple of 3172 and 3181?

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 3172 and 3181 is 10090132.

LCM(3172,3181) = 10090132

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Least Common Multiple of 3172 and 3181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3172 and 3181, than apply into the LCM equation.

GCF(3172,3181) = 1
LCM(3172,3181) = ( 3172 × 3181) / 1
LCM(3172,3181) = 10090132 / 1
LCM(3172,3181) = 10090132

Least Common Multiple (LCM) of 3172 and 3181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3172 and 3181. First we will calculate the prime factors of 3172 and 3181.

Prime Factorization of 3172

Prime factors of 3172 are 2, 13, 61. Prime factorization of 3172 in exponential form is:

3172 = 22 × 131 × 611

Prime Factorization of 3181

Prime factors of 3181 are 3181. Prime factorization of 3181 in exponential form is:

3181 = 31811

Now multiplying the highest exponent prime factors to calculate the LCM of 3172 and 3181.

LCM(3172,3181) = 22 × 131 × 611 × 31811
LCM(3172,3181) = 10090132