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What is the Least Common Multiple of 99161 and 99169?

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 99161 and 99169 is 9833697209.

LCM(99161,99169) = 9833697209

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Least Common Multiple of 99161 and 99169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99161 and 99169, than apply into the LCM equation.

GCF(99161,99169) = 1
LCM(99161,99169) = ( 99161 × 99169) / 1
LCM(99161,99169) = 9833697209 / 1
LCM(99161,99169) = 9833697209

Least Common Multiple (LCM) of 99161 and 99169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99161 and 99169. First we will calculate the prime factors of 99161 and 99169.

Prime Factorization of 99161

Prime factors of 99161 are 17, 19, 307. Prime factorization of 99161 in exponential form is:

99161 = 171 × 191 × 3071

Prime Factorization of 99169

Prime factors of 99169 are 7, 31, 457. Prime factorization of 99169 in exponential form is:

99169 = 71 × 311 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 99161 and 99169.

LCM(99161,99169) = 171 × 191 × 3071 × 71 × 311 × 4571
LCM(99161,99169) = 9833697209