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What is the Least Common Multiple of 71163 and 71167?

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 71163 and 71167 is 5064457221.

LCM(71163,71167) = 5064457221

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Least Common Multiple of 71163 and 71167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71163 and 71167, than apply into the LCM equation.

GCF(71163,71167) = 1
LCM(71163,71167) = ( 71163 × 71167) / 1
LCM(71163,71167) = 5064457221 / 1
LCM(71163,71167) = 5064457221

Least Common Multiple (LCM) of 71163 and 71167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71163 and 71167. First we will calculate the prime factors of 71163 and 71167.

Prime Factorization of 71163

Prime factors of 71163 are 3, 7907. Prime factorization of 71163 in exponential form is:

71163 = 32 × 79071

Prime Factorization of 71167

Prime factors of 71167 are 71167. Prime factorization of 71167 in exponential form is:

71167 = 711671

Now multiplying the highest exponent prime factors to calculate the LCM of 71163 and 71167.

LCM(71163,71167) = 32 × 79071 × 711671
LCM(71163,71167) = 5064457221