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What is the Least Common Multiple of 3162 and 3171?

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 3162 and 3171 is 3342234.

LCM(3162,3171) = 3342234

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Least Common Multiple of 3162 and 3171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3162 and 3171, than apply into the LCM equation.

GCF(3162,3171) = 3
LCM(3162,3171) = ( 3162 × 3171) / 3
LCM(3162,3171) = 10026702 / 3
LCM(3162,3171) = 3342234

Least Common Multiple (LCM) of 3162 and 3171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3162 and 3171. First we will calculate the prime factors of 3162 and 3171.

Prime Factorization of 3162

Prime factors of 3162 are 2, 3, 17, 31. Prime factorization of 3162 in exponential form is:

3162 = 21 × 31 × 171 × 311

Prime Factorization of 3171

Prime factors of 3171 are 3, 7, 151. Prime factorization of 3171 in exponential form is:

3171 = 31 × 71 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 3162 and 3171.

LCM(3162,3171) = 21 × 31 × 171 × 311 × 71 × 1511
LCM(3162,3171) = 3342234