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What is the Least Common Multiple of 88827 and 88841?

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 88827 and 88841 is 7891479507.

LCM(88827,88841) = 7891479507

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Least Common Multiple of 88827 and 88841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88827 and 88841, than apply into the LCM equation.

GCF(88827,88841) = 1
LCM(88827,88841) = ( 88827 × 88841) / 1
LCM(88827,88841) = 7891479507 / 1
LCM(88827,88841) = 7891479507

Least Common Multiple (LCM) of 88827 and 88841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88827 and 88841. First we will calculate the prime factors of 88827 and 88841.

Prime Factorization of 88827

Prime factors of 88827 are 3, 29, 1021. Prime factorization of 88827 in exponential form is:

88827 = 31 × 291 × 10211

Prime Factorization of 88841

Prime factors of 88841 are 73, 1217. Prime factorization of 88841 in exponential form is:

88841 = 731 × 12171

Now multiplying the highest exponent prime factors to calculate the LCM of 88827 and 88841.

LCM(88827,88841) = 31 × 291 × 10211 × 731 × 12171
LCM(88827,88841) = 7891479507