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What is the Least Common Multiple of 7118 and 7134?

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 7118 and 7134 is 25389906.

LCM(7118,7134) = 25389906

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Least Common Multiple of 7118 and 7134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7118 and 7134, than apply into the LCM equation.

GCF(7118,7134) = 2
LCM(7118,7134) = ( 7118 × 7134) / 2
LCM(7118,7134) = 50779812 / 2
LCM(7118,7134) = 25389906

Least Common Multiple (LCM) of 7118 and 7134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7118 and 7134. First we will calculate the prime factors of 7118 and 7134.

Prime Factorization of 7118

Prime factors of 7118 are 2, 3559. Prime factorization of 7118 in exponential form is:

7118 = 21 × 35591

Prime Factorization of 7134

Prime factors of 7134 are 2, 3, 29, 41. Prime factorization of 7134 in exponential form is:

7134 = 21 × 31 × 291 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 7118 and 7134.

LCM(7118,7134) = 21 × 35591 × 31 × 291 × 411
LCM(7118,7134) = 25389906