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What is the Least Common Multiple of 5162 and 5174?

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 5162 and 5174 is 13354094.

LCM(5162,5174) = 13354094

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Least Common Multiple of 5162 and 5174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5162 and 5174, than apply into the LCM equation.

GCF(5162,5174) = 2
LCM(5162,5174) = ( 5162 × 5174) / 2
LCM(5162,5174) = 26708188 / 2
LCM(5162,5174) = 13354094

Least Common Multiple (LCM) of 5162 and 5174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5162 and 5174. First we will calculate the prime factors of 5162 and 5174.

Prime Factorization of 5162

Prime factors of 5162 are 2, 29, 89. Prime factorization of 5162 in exponential form is:

5162 = 21 × 291 × 891

Prime Factorization of 5174

Prime factors of 5174 are 2, 13, 199. Prime factorization of 5174 in exponential form is:

5174 = 21 × 131 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 5162 and 5174.

LCM(5162,5174) = 21 × 291 × 891 × 131 × 1991
LCM(5162,5174) = 13354094