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What is the Least Common Multiple of 6130 and 6149?

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 6130 and 6149 is 37693370.

LCM(6130,6149) = 37693370

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Least Common Multiple of 6130 and 6149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6130 and 6149, than apply into the LCM equation.

GCF(6130,6149) = 1
LCM(6130,6149) = ( 6130 × 6149) / 1
LCM(6130,6149) = 37693370 / 1
LCM(6130,6149) = 37693370

Least Common Multiple (LCM) of 6130 and 6149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6130 and 6149. First we will calculate the prime factors of 6130 and 6149.

Prime Factorization of 6130

Prime factors of 6130 are 2, 5, 613. Prime factorization of 6130 in exponential form is:

6130 = 21 × 51 × 6131

Prime Factorization of 6149

Prime factors of 6149 are 11, 13, 43. Prime factorization of 6149 in exponential form is:

6149 = 111 × 131 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 6130 and 6149.

LCM(6130,6149) = 21 × 51 × 6131 × 111 × 131 × 431
LCM(6130,6149) = 37693370