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What is the Least Common Multiple of 98159 and 98165?

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 98159 and 98165 is 9635778235.

LCM(98159,98165) = 9635778235

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Least Common Multiple of 98159 and 98165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98159 and 98165, than apply into the LCM equation.

GCF(98159,98165) = 1
LCM(98159,98165) = ( 98159 × 98165) / 1
LCM(98159,98165) = 9635778235 / 1
LCM(98159,98165) = 9635778235

Least Common Multiple (LCM) of 98159 and 98165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98159 and 98165. First we will calculate the prime factors of 98159 and 98165.

Prime Factorization of 98159

Prime factors of 98159 are 103, 953. Prime factorization of 98159 in exponential form is:

98159 = 1031 × 9531

Prime Factorization of 98165

Prime factors of 98165 are 5, 29, 677. Prime factorization of 98165 in exponential form is:

98165 = 51 × 291 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 98159 and 98165.

LCM(98159,98165) = 1031 × 9531 × 51 × 291 × 6771
LCM(98159,98165) = 9635778235