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What is the Least Common Multiple of 6165 and 6178?

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 6165 and 6178 is 38087370.

LCM(6165,6178) = 38087370

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Least Common Multiple of 6165 and 6178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6165 and 6178, than apply into the LCM equation.

GCF(6165,6178) = 1
LCM(6165,6178) = ( 6165 × 6178) / 1
LCM(6165,6178) = 38087370 / 1
LCM(6165,6178) = 38087370

Least Common Multiple (LCM) of 6165 and 6178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6165 and 6178. First we will calculate the prime factors of 6165 and 6178.

Prime Factorization of 6165

Prime factors of 6165 are 3, 5, 137. Prime factorization of 6165 in exponential form is:

6165 = 32 × 51 × 1371

Prime Factorization of 6178

Prime factors of 6178 are 2, 3089. Prime factorization of 6178 in exponential form is:

6178 = 21 × 30891

Now multiplying the highest exponent prime factors to calculate the LCM of 6165 and 6178.

LCM(6165,6178) = 32 × 51 × 1371 × 21 × 30891
LCM(6165,6178) = 38087370