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What is the Least Common Multiple of 98995 and 99014?

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 98995 and 99014 is 9801890930.

LCM(98995,99014) = 9801890930

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Least Common Multiple of 98995 and 99014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98995 and 99014, than apply into the LCM equation.

GCF(98995,99014) = 1
LCM(98995,99014) = ( 98995 × 99014) / 1
LCM(98995,99014) = 9801890930 / 1
LCM(98995,99014) = 9801890930

Least Common Multiple (LCM) of 98995 and 99014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98995 and 99014. First we will calculate the prime factors of 98995 and 99014.

Prime Factorization of 98995

Prime factors of 98995 are 5, 13, 1523. Prime factorization of 98995 in exponential form is:

98995 = 51 × 131 × 15231

Prime Factorization of 99014

Prime factors of 99014 are 2, 31, 1597. Prime factorization of 99014 in exponential form is:

99014 = 21 × 311 × 15971

Now multiplying the highest exponent prime factors to calculate the LCM of 98995 and 99014.

LCM(98995,99014) = 51 × 131 × 15231 × 21 × 311 × 15971
LCM(98995,99014) = 9801890930