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What is the Least Common Multiple of 3149 and 3158?

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 3149 and 3158 is 9944542.

LCM(3149,3158) = 9944542

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Least Common Multiple of 3149 and 3158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3149 and 3158, than apply into the LCM equation.

GCF(3149,3158) = 1
LCM(3149,3158) = ( 3149 × 3158) / 1
LCM(3149,3158) = 9944542 / 1
LCM(3149,3158) = 9944542

Least Common Multiple (LCM) of 3149 and 3158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3149 and 3158. First we will calculate the prime factors of 3149 and 3158.

Prime Factorization of 3149

Prime factors of 3149 are 47, 67. Prime factorization of 3149 in exponential form is:

3149 = 471 × 671

Prime Factorization of 3158

Prime factors of 3158 are 2, 1579. Prime factorization of 3158 in exponential form is:

3158 = 21 × 15791

Now multiplying the highest exponent prime factors to calculate the LCM of 3149 and 3158.

LCM(3149,3158) = 471 × 671 × 21 × 15791
LCM(3149,3158) = 9944542