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What is the Least Common Multiple of 99158 and 99167?

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 99158 and 99167 is 9833201386.

LCM(99158,99167) = 9833201386

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Least Common Multiple of 99158 and 99167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99158 and 99167, than apply into the LCM equation.

GCF(99158,99167) = 1
LCM(99158,99167) = ( 99158 × 99167) / 1
LCM(99158,99167) = 9833201386 / 1
LCM(99158,99167) = 9833201386

Least Common Multiple (LCM) of 99158 and 99167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99158 and 99167. First we will calculate the prime factors of 99158 and 99167.

Prime Factorization of 99158

Prime factors of 99158 are 2, 43, 1153. Prime factorization of 99158 in exponential form is:

99158 = 21 × 431 × 11531

Prime Factorization of 99167

Prime factors of 99167 are 131, 757. Prime factorization of 99167 in exponential form is:

99167 = 1311 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 99158 and 99167.

LCM(99158,99167) = 21 × 431 × 11531 × 1311 × 7571
LCM(99158,99167) = 9833201386