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What is the Least Common Multiple of 95557 and 95571?

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 95557 and 95571 is 1304639721.

LCM(95557,95571) = 1304639721

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Least Common Multiple of 95557 and 95571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95557 and 95571, than apply into the LCM equation.

GCF(95557,95571) = 7
LCM(95557,95571) = ( 95557 × 95571) / 7
LCM(95557,95571) = 9132478047 / 7
LCM(95557,95571) = 1304639721

Least Common Multiple (LCM) of 95557 and 95571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95557 and 95571. First we will calculate the prime factors of 95557 and 95571.

Prime Factorization of 95557

Prime factors of 95557 are 7, 11, 17, 73. Prime factorization of 95557 in exponential form is:

95557 = 71 × 111 × 171 × 731

Prime Factorization of 95571

Prime factors of 95571 are 3, 7, 37, 41. Prime factorization of 95571 in exponential form is:

95571 = 32 × 71 × 371 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 95557 and 95571.

LCM(95557,95571) = 71 × 111 × 171 × 731 × 32 × 371 × 411
LCM(95557,95571) = 1304639721