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What is the Least Common Multiple of 95584 and 95603?

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 95584 and 95603 is 9138117152.

LCM(95584,95603) = 9138117152

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Least Common Multiple of 95584 and 95603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95584 and 95603, than apply into the LCM equation.

GCF(95584,95603) = 1
LCM(95584,95603) = ( 95584 × 95603) / 1
LCM(95584,95603) = 9138117152 / 1
LCM(95584,95603) = 9138117152

Least Common Multiple (LCM) of 95584 and 95603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95584 and 95603. First we will calculate the prime factors of 95584 and 95603.

Prime Factorization of 95584

Prime factors of 95584 are 2, 29, 103. Prime factorization of 95584 in exponential form is:

95584 = 25 × 291 × 1031

Prime Factorization of 95603

Prime factors of 95603 are 95603. Prime factorization of 95603 in exponential form is:

95603 = 956031

Now multiplying the highest exponent prime factors to calculate the LCM of 95584 and 95603.

LCM(95584,95603) = 25 × 291 × 1031 × 956031
LCM(95584,95603) = 9138117152