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What is the Least Common Multiple of 6173 and 6184?

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 6173 and 6184 is 38173832.

LCM(6173,6184) = 38173832

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Least Common Multiple of 6173 and 6184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6173 and 6184, than apply into the LCM equation.

GCF(6173,6184) = 1
LCM(6173,6184) = ( 6173 × 6184) / 1
LCM(6173,6184) = 38173832 / 1
LCM(6173,6184) = 38173832

Least Common Multiple (LCM) of 6173 and 6184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6173 and 6184. First we will calculate the prime factors of 6173 and 6184.

Prime Factorization of 6173

Prime factors of 6173 are 6173. Prime factorization of 6173 in exponential form is:

6173 = 61731

Prime Factorization of 6184

Prime factors of 6184 are 2, 773. Prime factorization of 6184 in exponential form is:

6184 = 23 × 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 6173 and 6184.

LCM(6173,6184) = 61731 × 23 × 7731
LCM(6173,6184) = 38173832