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What is the Least Common Multiple of 98079 and 98099?

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 98099 is 9621451821.

LCM(98079,98099) = 9621451821

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Least Common Multiple of 98079 and 98099 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 98099, than apply into the LCM equation.

GCF(98079,98099) = 1
LCM(98079,98099) = ( 98079 × 98099) / 1
LCM(98079,98099) = 9621451821 / 1
LCM(98079,98099) = 9621451821

Least Common Multiple (LCM) of 98079 and 98099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98079 and 98099. First we will calculate the prime factors of 98079 and 98099.

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 98099

Prime factors of 98099 are 263, 373. Prime factorization of 98099 in exponential form is:

98099 = 2631 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 98079 and 98099.

LCM(98079,98099) = 31 × 326931 × 2631 × 3731
LCM(98079,98099) = 9621451821