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What is the Least Common Multiple of 95545 and 95557?

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 95545 and 95557 is 9129993565.

LCM(95545,95557) = 9129993565

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Least Common Multiple of 95545 and 95557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95545 and 95557, than apply into the LCM equation.

GCF(95545,95557) = 1
LCM(95545,95557) = ( 95545 × 95557) / 1
LCM(95545,95557) = 9129993565 / 1
LCM(95545,95557) = 9129993565

Least Common Multiple (LCM) of 95545 and 95557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95545 and 95557. First we will calculate the prime factors of 95545 and 95557.

Prime Factorization of 95545

Prime factors of 95545 are 5, 97, 197. Prime factorization of 95545 in exponential form is:

95545 = 51 × 971 × 1971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 95545 and 95557.

LCM(95545,95557) = 51 × 971 × 1971 × 71 × 111 × 171 × 731
LCM(95545,95557) = 9129993565