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What is the Least Common Multiple of 98157 and 98166?

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 98157 and 98166 is 3211893354.

LCM(98157,98166) = 3211893354

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Least Common Multiple of 98157 and 98166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98157 and 98166, than apply into the LCM equation.

GCF(98157,98166) = 3
LCM(98157,98166) = ( 98157 × 98166) / 3
LCM(98157,98166) = 9635680062 / 3
LCM(98157,98166) = 3211893354

Least Common Multiple (LCM) of 98157 and 98166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98157 and 98166. First we will calculate the prime factors of 98157 and 98166.

Prime Factorization of 98157

Prime factors of 98157 are 3, 32719. Prime factorization of 98157 in exponential form is:

98157 = 31 × 327191

Prime Factorization of 98166

Prime factors of 98166 are 2, 3, 16361. Prime factorization of 98166 in exponential form is:

98166 = 21 × 31 × 163611

Now multiplying the highest exponent prime factors to calculate the LCM of 98157 and 98166.

LCM(98157,98166) = 31 × 327191 × 21 × 163611
LCM(98157,98166) = 3211893354