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What is the Least Common Multiple of 6140 and 6147?

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 6140 and 6147 is 37742580.

LCM(6140,6147) = 37742580

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Least Common Multiple of 6140 and 6147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6140 and 6147, than apply into the LCM equation.

GCF(6140,6147) = 1
LCM(6140,6147) = ( 6140 × 6147) / 1
LCM(6140,6147) = 37742580 / 1
LCM(6140,6147) = 37742580

Least Common Multiple (LCM) of 6140 and 6147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6140 and 6147. First we will calculate the prime factors of 6140 and 6147.

Prime Factorization of 6140

Prime factors of 6140 are 2, 5, 307. Prime factorization of 6140 in exponential form is:

6140 = 22 × 51 × 3071

Prime Factorization of 6147

Prime factors of 6147 are 3, 683. Prime factorization of 6147 in exponential form is:

6147 = 32 × 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 6140 and 6147.

LCM(6140,6147) = 22 × 51 × 3071 × 32 × 6831
LCM(6140,6147) = 37742580