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What is the Least Common Multiple of 98159 and 98176?

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 98176 is 9636857984.

LCM(98159,98176) = 9636857984

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Least Common Multiple of 98159 and 98176 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 98176, than apply into the LCM equation.

GCF(98159,98176) = 1
LCM(98159,98176) = ( 98159 × 98176) / 1
LCM(98159,98176) = 9636857984 / 1
LCM(98159,98176) = 9636857984

Least Common Multiple (LCM) of 98159 and 98176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98159 and 98176. First we will calculate the prime factors of 98159 and 98176.

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 98176

Prime factors of 98176 are 2, 13, 59. Prime factorization of 98176 in exponential form is:

98176 = 27 × 131 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 98159 and 98176.

LCM(98159,98176) = 1031 × 9531 × 27 × 131 × 591
LCM(98159,98176) = 9636857984