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What is the Least Common Multiple of 5166 and 5185?

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 5166 and 5185 is 26785710.

LCM(5166,5185) = 26785710

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Least Common Multiple of 5166 and 5185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5166 and 5185, than apply into the LCM equation.

GCF(5166,5185) = 1
LCM(5166,5185) = ( 5166 × 5185) / 1
LCM(5166,5185) = 26785710 / 1
LCM(5166,5185) = 26785710

Least Common Multiple (LCM) of 5166 and 5185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5166 and 5185. First we will calculate the prime factors of 5166 and 5185.

Prime Factorization of 5166

Prime factors of 5166 are 2, 3, 7, 41. Prime factorization of 5166 in exponential form is:

5166 = 21 × 32 × 71 × 411

Prime Factorization of 5185

Prime factors of 5185 are 5, 17, 61. Prime factorization of 5185 in exponential form is:

5185 = 51 × 171 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 5166 and 5185.

LCM(5166,5185) = 21 × 32 × 71 × 411 × 51 × 171 × 611
LCM(5166,5185) = 26785710