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What is the Least Common Multiple of 6177 and 6187?

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 6177 and 6187 is 38217099.

LCM(6177,6187) = 38217099

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Least Common Multiple of 6177 and 6187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6177 and 6187, than apply into the LCM equation.

GCF(6177,6187) = 1
LCM(6177,6187) = ( 6177 × 6187) / 1
LCM(6177,6187) = 38217099 / 1
LCM(6177,6187) = 38217099

Least Common Multiple (LCM) of 6177 and 6187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6177 and 6187. First we will calculate the prime factors of 6177 and 6187.

Prime Factorization of 6177

Prime factors of 6177 are 3, 29, 71. Prime factorization of 6177 in exponential form is:

6177 = 31 × 291 × 711

Prime Factorization of 6187

Prime factors of 6187 are 23, 269. Prime factorization of 6187 in exponential form is:

6187 = 231 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 6177 and 6187.

LCM(6177,6187) = 31 × 291 × 711 × 231 × 2691
LCM(6177,6187) = 38217099