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What is the Least Common Multiple of 98189 and 98197?

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 98189 and 98197 is 9641865233.

LCM(98189,98197) = 9641865233

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Least Common Multiple of 98189 and 98197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98189 and 98197, than apply into the LCM equation.

GCF(98189,98197) = 1
LCM(98189,98197) = ( 98189 × 98197) / 1
LCM(98189,98197) = 9641865233 / 1
LCM(98189,98197) = 9641865233

Least Common Multiple (LCM) of 98189 and 98197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98189 and 98197. First we will calculate the prime factors of 98189 and 98197.

Prime Factorization of 98189

Prime factors of 98189 are 7, 13, 83. Prime factorization of 98189 in exponential form is:

98189 = 71 × 132 × 831

Prime Factorization of 98197

Prime factors of 98197 are 11, 79, 113. Prime factorization of 98197 in exponential form is:

98197 = 111 × 791 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 98189 and 98197.

LCM(98189,98197) = 71 × 132 × 831 × 111 × 791 × 1131
LCM(98189,98197) = 9641865233