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What is the Least Common Multiple of 6140 and 6152?

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 6152 is 9443320.

LCM(6140,6152) = 9443320

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Least Common Multiple of 6140 and 6152 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 6152, than apply into the LCM equation.

GCF(6140,6152) = 4
LCM(6140,6152) = ( 6140 × 6152) / 4
LCM(6140,6152) = 37773280 / 4
LCM(6140,6152) = 9443320

Least Common Multiple (LCM) of 6140 and 6152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6140 and 6152. First we will calculate the prime factors of 6140 and 6152.

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 6152

Prime factors of 6152 are 2, 769. Prime factorization of 6152 in exponential form is:

6152 = 23 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 6140 and 6152.

LCM(6140,6152) = 23 × 51 × 3071 × 7691
LCM(6140,6152) = 9443320