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What is the Least Common Multiple of 7142 and 7158?

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 7142 and 7158 is 25561218.

LCM(7142,7158) = 25561218

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Least Common Multiple of 7142 and 7158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7142 and 7158, than apply into the LCM equation.

GCF(7142,7158) = 2
LCM(7142,7158) = ( 7142 × 7158) / 2
LCM(7142,7158) = 51122436 / 2
LCM(7142,7158) = 25561218

Least Common Multiple (LCM) of 7142 and 7158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7142 and 7158. First we will calculate the prime factors of 7142 and 7158.

Prime Factorization of 7142

Prime factors of 7142 are 2, 3571. Prime factorization of 7142 in exponential form is:

7142 = 21 × 35711

Prime Factorization of 7158

Prime factors of 7158 are 2, 3, 1193. Prime factorization of 7158 in exponential form is:

7158 = 21 × 31 × 11931

Now multiplying the highest exponent prime factors to calculate the LCM of 7142 and 7158.

LCM(7142,7158) = 21 × 35711 × 31 × 11931
LCM(7142,7158) = 25561218