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What is the Least Common Multiple of 98079 and 98095?

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 98079 and 98095 is 9621059505.

LCM(98079,98095) = 9621059505

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Least Common Multiple of 98079 and 98095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98079 and 98095, than apply into the LCM equation.

GCF(98079,98095) = 1
LCM(98079,98095) = ( 98079 × 98095) / 1
LCM(98079,98095) = 9621059505 / 1
LCM(98079,98095) = 9621059505

Least Common Multiple (LCM) of 98079 and 98095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98079 and 98095. First we will calculate the prime factors of 98079 and 98095.

Prime Factorization of 98079

Prime factors of 98079 are 3, 32693. Prime factorization of 98079 in exponential form is:

98079 = 31 × 326931

Prime Factorization of 98095

Prime factors of 98095 are 5, 23, 853. Prime factorization of 98095 in exponential form is:

98095 = 51 × 231 × 8531

Now multiplying the highest exponent prime factors to calculate the LCM of 98079 and 98095.

LCM(98079,98095) = 31 × 326931 × 51 × 231 × 8531
LCM(98079,98095) = 9621059505