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What is the Least Common Multiple of 6139 and 6146?

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 6139 and 6146 is 5390042.

LCM(6139,6146) = 5390042

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Least Common Multiple of 6139 and 6146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6139 and 6146, than apply into the LCM equation.

GCF(6139,6146) = 7
LCM(6139,6146) = ( 6139 × 6146) / 7
LCM(6139,6146) = 37730294 / 7
LCM(6139,6146) = 5390042

Least Common Multiple (LCM) of 6139 and 6146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6139 and 6146. First we will calculate the prime factors of 6139 and 6146.

Prime Factorization of 6139

Prime factors of 6139 are 7, 877. Prime factorization of 6139 in exponential form is:

6139 = 71 × 8771

Prime Factorization of 6146

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

6146 = 21 × 71 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 6139 and 6146.

LCM(6139,6146) = 71 × 8771 × 21 × 4391
LCM(6139,6146) = 5390042