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What is the Least Common Multiple of 3136 and 3143?

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 3136 and 3143 is 1408064.

LCM(3136,3143) = 1408064

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Least Common Multiple of 3136 and 3143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3136 and 3143, than apply into the LCM equation.

GCF(3136,3143) = 7
LCM(3136,3143) = ( 3136 × 3143) / 7
LCM(3136,3143) = 9856448 / 7
LCM(3136,3143) = 1408064

Least Common Multiple (LCM) of 3136 and 3143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3136 and 3143. First we will calculate the prime factors of 3136 and 3143.

Prime Factorization of 3136

Prime factors of 3136 are 2, 7. Prime factorization of 3136 in exponential form is:

3136 = 26 × 72

Prime Factorization of 3143

Prime factors of 3143 are 7, 449. Prime factorization of 3143 in exponential form is:

3143 = 71 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 3136 and 3143.

LCM(3136,3143) = 26 × 72 × 4491
LCM(3136,3143) = 1408064