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What is the Least Common Multiple of 88183 and 88201?

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 88183 and 88201 is 7777828783.

LCM(88183,88201) = 7777828783

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Least Common Multiple of 88183 and 88201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88183 and 88201, than apply into the LCM equation.

GCF(88183,88201) = 1
LCM(88183,88201) = ( 88183 × 88201) / 1
LCM(88183,88201) = 7777828783 / 1
LCM(88183,88201) = 7777828783

Least Common Multiple (LCM) of 88183 and 88201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88183 and 88201. First we will calculate the prime factors of 88183 and 88201.

Prime Factorization of 88183

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

88183 = 1631 × 5411

Prime Factorization of 88201

Prime factors of 88201 are 193, 457. Prime factorization of 88201 in exponential form is:

88201 = 1931 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 88183 and 88201.

LCM(88183,88201) = 1631 × 5411 × 1931 × 4571
LCM(88183,88201) = 7777828783