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What is the Least Common Multiple of 3144 and 3159?

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 3144 and 3159 is 3310632.

LCM(3144,3159) = 3310632

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Least Common Multiple of 3144 and 3159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3144 and 3159, than apply into the LCM equation.

GCF(3144,3159) = 3
LCM(3144,3159) = ( 3144 × 3159) / 3
LCM(3144,3159) = 9931896 / 3
LCM(3144,3159) = 3310632

Least Common Multiple (LCM) of 3144 and 3159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3144 and 3159. First we will calculate the prime factors of 3144 and 3159.

Prime Factorization of 3144

Prime factors of 3144 are 2, 3, 131. Prime factorization of 3144 in exponential form is:

3144 = 23 × 31 × 1311

Prime Factorization of 3159

Prime factors of 3159 are 3, 13. Prime factorization of 3159 in exponential form is:

3159 = 35 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 3144 and 3159.

LCM(3144,3159) = 23 × 35 × 1311 × 131
LCM(3144,3159) = 3310632