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What is the Least Common Multiple of 6177 and 6182?

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 6182 is 38186214.

LCM(6177,6182) = 38186214

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Least Common Multiple of 6177 and 6182 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 6182, than apply into the LCM equation.

GCF(6177,6182) = 1
LCM(6177,6182) = ( 6177 × 6182) / 1
LCM(6177,6182) = 38186214 / 1
LCM(6177,6182) = 38186214

Least Common Multiple (LCM) of 6177 and 6182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6177 and 6182. First we will calculate the prime factors of 6177 and 6182.

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 6182

Prime factors of 6182 are 2, 11, 281. Prime factorization of 6182 in exponential form is:

6182 = 21 × 111 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 6177 and 6182.

LCM(6177,6182) = 31 × 291 × 711 × 21 × 111 × 2811
LCM(6177,6182) = 38186214