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What is the Least Common Multiple of 98158 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 98158 and 98166 is 4817889114.

LCM(98158,98166) = 4817889114

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Least Common Multiple of 98158 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 98158 and 98166, than apply into the LCM equation.

GCF(98158,98166) = 2
LCM(98158,98166) = ( 98158 × 98166) / 2
LCM(98158,98166) = 9635778228 / 2
LCM(98158,98166) = 4817889114

Least Common Multiple (LCM) of 98158 and 98166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98158 and 98166. First we will calculate the prime factors of 98158 and 98166.

Prime Factorization of 98158

Prime factors of 98158 are 2, 17, 2887. Prime factorization of 98158 in exponential form is:

98158 = 21 × 171 × 28871

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 98158 and 98166.

LCM(98158,98166) = 21 × 171 × 28871 × 31 × 163611
LCM(98158,98166) = 4817889114