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What is the Least Common Multiple of 88171 and 88183?

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 88171 and 88183 is 7775183293.

LCM(88171,88183) = 7775183293

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Least Common Multiple of 88171 and 88183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88171 and 88183, than apply into the LCM equation.

GCF(88171,88183) = 1
LCM(88171,88183) = ( 88171 × 88183) / 1
LCM(88171,88183) = 7775183293 / 1
LCM(88171,88183) = 7775183293

Least Common Multiple (LCM) of 88171 and 88183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88171 and 88183. First we will calculate the prime factors of 88171 and 88183.

Prime Factorization of 88171

Prime factors of 88171 are 37, 2383. Prime factorization of 88171 in exponential form is:

88171 = 371 × 23831

Prime Factorization of 88183

Prime factors of 88183 are 163, 541. Prime factorization of 88183 in exponential form is:

88183 = 1631 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 88171 and 88183.

LCM(88171,88183) = 371 × 23831 × 1631 × 5411
LCM(88171,88183) = 7775183293