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What is the Least Common Multiple of 6146 and 6165?

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 6146 and 6165 is 37890090.

LCM(6146,6165) = 37890090

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Least Common Multiple of 6146 and 6165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6146 and 6165, than apply into the LCM equation.

GCF(6146,6165) = 1
LCM(6146,6165) = ( 6146 × 6165) / 1
LCM(6146,6165) = 37890090 / 1
LCM(6146,6165) = 37890090

Least Common Multiple (LCM) of 6146 and 6165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6146 and 6165. First we will calculate the prime factors of 6146 and 6165.

Prime Factorization of 6146

Prime factors of 6146 are 2, 7, 439. Prime factorization of 6146 in exponential form is:

6146 = 21 × 71 × 4391

Prime Factorization of 6165

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

6165 = 32 × 51 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 6146 and 6165.

LCM(6146,6165) = 21 × 71 × 4391 × 32 × 51 × 1371
LCM(6146,6165) = 37890090