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What is the Least Common Multiple of 98087 and 98106?

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 98087 and 98106 is 9622923222.

LCM(98087,98106) = 9622923222

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Least Common Multiple of 98087 and 98106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98087 and 98106, than apply into the LCM equation.

GCF(98087,98106) = 1
LCM(98087,98106) = ( 98087 × 98106) / 1
LCM(98087,98106) = 9622923222 / 1
LCM(98087,98106) = 9622923222

Least Common Multiple (LCM) of 98087 and 98106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98087 and 98106. First we will calculate the prime factors of 98087 and 98106.

Prime Factorization of 98087

Prime factors of 98087 are 11, 37, 241. Prime factorization of 98087 in exponential form is:

98087 = 111 × 371 × 2411

Prime Factorization of 98106

Prime factors of 98106 are 2, 3, 83, 197. Prime factorization of 98106 in exponential form is:

98106 = 21 × 31 × 831 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 98087 and 98106.

LCM(98087,98106) = 111 × 371 × 2411 × 21 × 31 × 831 × 1971
LCM(98087,98106) = 9622923222