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What is the Least Common Multiple of 98191 and 98206?

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 98191 and 98206 is 9642945346.

LCM(98191,98206) = 9642945346

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Least Common Multiple of 98191 and 98206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98191 and 98206, than apply into the LCM equation.

GCF(98191,98206) = 1
LCM(98191,98206) = ( 98191 × 98206) / 1
LCM(98191,98206) = 9642945346 / 1
LCM(98191,98206) = 9642945346

Least Common Multiple (LCM) of 98191 and 98206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98191 and 98206. First we will calculate the prime factors of 98191 and 98206.

Prime Factorization of 98191

Prime factors of 98191 are 149, 659. Prime factorization of 98191 in exponential form is:

98191 = 1491 × 6591

Prime Factorization of 98206

Prime factors of 98206 are 2, 49103. Prime factorization of 98206 in exponential form is:

98206 = 21 × 491031

Now multiplying the highest exponent prime factors to calculate the LCM of 98191 and 98206.

LCM(98191,98206) = 1491 × 6591 × 21 × 491031
LCM(98191,98206) = 9642945346