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What is the Least Common Multiple of 3134 and 3149?

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 3134 and 3149 is 9868966.

LCM(3134,3149) = 9868966

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Least Common Multiple of 3134 and 3149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3134 and 3149, than apply into the LCM equation.

GCF(3134,3149) = 1
LCM(3134,3149) = ( 3134 × 3149) / 1
LCM(3134,3149) = 9868966 / 1
LCM(3134,3149) = 9868966

Least Common Multiple (LCM) of 3134 and 3149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3134 and 3149. First we will calculate the prime factors of 3134 and 3149.

Prime Factorization of 3134

Prime factors of 3134 are 2, 1567. Prime factorization of 3134 in exponential form is:

3134 = 21 × 15671

Prime Factorization of 3149

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

3149 = 471 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 3134 and 3149.

LCM(3134,3149) = 21 × 15671 × 471 × 671
LCM(3134,3149) = 9868966