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What is the Least Common Multiple of 98179 and 98198?

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 98179 and 98198 is 9640981442.

LCM(98179,98198) = 9640981442

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Least Common Multiple of 98179 and 98198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98179 and 98198, than apply into the LCM equation.

GCF(98179,98198) = 1
LCM(98179,98198) = ( 98179 × 98198) / 1
LCM(98179,98198) = 9640981442 / 1
LCM(98179,98198) = 9640981442

Least Common Multiple (LCM) of 98179 and 98198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98179 and 98198. First we will calculate the prime factors of 98179 and 98198.

Prime Factorization of 98179

Prime factors of 98179 are 98179. Prime factorization of 98179 in exponential form is:

98179 = 981791

Prime Factorization of 98198

Prime factors of 98198 are 2, 37, 1327. Prime factorization of 98198 in exponential form is:

98198 = 21 × 371 × 13271

Now multiplying the highest exponent prime factors to calculate the LCM of 98179 and 98198.

LCM(98179,98198) = 981791 × 21 × 371 × 13271
LCM(98179,98198) = 9640981442