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What is the Least Common Multiple of 5167 and 5181?

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 5167 and 5181 is 26770227.

LCM(5167,5181) = 26770227

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Least Common Multiple of 5167 and 5181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5167 and 5181, than apply into the LCM equation.

GCF(5167,5181) = 1
LCM(5167,5181) = ( 5167 × 5181) / 1
LCM(5167,5181) = 26770227 / 1
LCM(5167,5181) = 26770227

Least Common Multiple (LCM) of 5167 and 5181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5167 and 5181. First we will calculate the prime factors of 5167 and 5181.

Prime Factorization of 5167

Prime factors of 5167 are 5167. Prime factorization of 5167 in exponential form is:

5167 = 51671

Prime Factorization of 5181

Prime factors of 5181 are 3, 11, 157. Prime factorization of 5181 in exponential form is:

5181 = 31 × 111 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 5167 and 5181.

LCM(5167,5181) = 51671 × 31 × 111 × 1571
LCM(5167,5181) = 26770227