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What is the Least Common Multiple of 95551 and 95556?

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 95551 and 95556 is 9130471356.

LCM(95551,95556) = 9130471356

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Least Common Multiple of 95551 and 95556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95551 and 95556, than apply into the LCM equation.

GCF(95551,95556) = 1
LCM(95551,95556) = ( 95551 × 95556) / 1
LCM(95551,95556) = 9130471356 / 1
LCM(95551,95556) = 9130471356

Least Common Multiple (LCM) of 95551 and 95556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95551 and 95556. First we will calculate the prime factors of 95551 and 95556.

Prime Factorization of 95551

Prime factors of 95551 are 19, 47, 107. Prime factorization of 95551 in exponential form is:

95551 = 191 × 471 × 1071

Prime Factorization of 95556

Prime factors of 95556 are 2, 3, 7963. Prime factorization of 95556 in exponential form is:

95556 = 22 × 31 × 79631

Now multiplying the highest exponent prime factors to calculate the LCM of 95551 and 95556.

LCM(95551,95556) = 191 × 471 × 1071 × 22 × 31 × 79631
LCM(95551,95556) = 9130471356