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What is the Least Common Multiple of 99155 and 99159?

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 99155 and 99159 is 9832110645.

LCM(99155,99159) = 9832110645

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Least Common Multiple of 99155 and 99159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99155 and 99159, than apply into the LCM equation.

GCF(99155,99159) = 1
LCM(99155,99159) = ( 99155 × 99159) / 1
LCM(99155,99159) = 9832110645 / 1
LCM(99155,99159) = 9832110645

Least Common Multiple (LCM) of 99155 and 99159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99155 and 99159. First we will calculate the prime factors of 99155 and 99159.

Prime Factorization of 99155

Prime factors of 99155 are 5, 7, 2833. Prime factorization of 99155 in exponential form is:

99155 = 51 × 71 × 28331

Prime Factorization of 99159

Prime factors of 99159 are 3, 33053. Prime factorization of 99159 in exponential form is:

99159 = 31 × 330531

Now multiplying the highest exponent prime factors to calculate the LCM of 99155 and 99159.

LCM(99155,99159) = 51 × 71 × 28331 × 31 × 330531
LCM(99155,99159) = 9832110645