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What is the Least Common Multiple of 6142 and 6156?

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 6142 and 6156 is 18905076.

LCM(6142,6156) = 18905076

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Least Common Multiple of 6142 and 6156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6142 and 6156, than apply into the LCM equation.

GCF(6142,6156) = 2
LCM(6142,6156) = ( 6142 × 6156) / 2
LCM(6142,6156) = 37810152 / 2
LCM(6142,6156) = 18905076

Least Common Multiple (LCM) of 6142 and 6156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6142 and 6156. First we will calculate the prime factors of 6142 and 6156.

Prime Factorization of 6142

Prime factors of 6142 are 2, 37, 83. Prime factorization of 6142 in exponential form is:

6142 = 21 × 371 × 831

Prime Factorization of 6156

Prime factors of 6156 are 2, 3, 19. Prime factorization of 6156 in exponential form is:

6156 = 22 × 34 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 6142 and 6156.

LCM(6142,6156) = 22 × 371 × 831 × 34 × 191
LCM(6142,6156) = 18905076