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What is the Least Common Multiple of 51166 and 51171?

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 51166 and 51171 is 2618215386.

LCM(51166,51171) = 2618215386

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Least Common Multiple of 51166 and 51171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51166 and 51171, than apply into the LCM equation.

GCF(51166,51171) = 1
LCM(51166,51171) = ( 51166 × 51171) / 1
LCM(51166,51171) = 2618215386 / 1
LCM(51166,51171) = 2618215386

Least Common Multiple (LCM) of 51166 and 51171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51166 and 51171. First we will calculate the prime factors of 51166 and 51171.

Prime Factorization of 51166

Prime factors of 51166 are 2, 25583. Prime factorization of 51166 in exponential form is:

51166 = 21 × 255831

Prime Factorization of 51171

Prime factors of 51171 are 3, 37, 461. Prime factorization of 51171 in exponential form is:

51171 = 31 × 371 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 51166 and 51171.

LCM(51166,51171) = 21 × 255831 × 31 × 371 × 4611
LCM(51166,51171) = 2618215386