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What is the Least Common Multiple of 3146 and 3163?

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 3146 and 3163 is 9950798.

LCM(3146,3163) = 9950798

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Least Common Multiple of 3146 and 3163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3146 and 3163, than apply into the LCM equation.

GCF(3146,3163) = 1
LCM(3146,3163) = ( 3146 × 3163) / 1
LCM(3146,3163) = 9950798 / 1
LCM(3146,3163) = 9950798

Least Common Multiple (LCM) of 3146 and 3163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3146 and 3163. First we will calculate the prime factors of 3146 and 3163.

Prime Factorization of 3146

Prime factors of 3146 are 2, 11, 13. Prime factorization of 3146 in exponential form is:

3146 = 21 × 112 × 131

Prime Factorization of 3163

Prime factors of 3163 are 3163. Prime factorization of 3163 in exponential form is:

3163 = 31631

Now multiplying the highest exponent prime factors to calculate the LCM of 3146 and 3163.

LCM(3146,3163) = 21 × 112 × 131 × 31631
LCM(3146,3163) = 9950798