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What is the Least Common Multiple of 88849 and 88863?

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 88849 and 88863 is 7895388687.

LCM(88849,88863) = 7895388687

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Least Common Multiple of 88849 and 88863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88849 and 88863, than apply into the LCM equation.

GCF(88849,88863) = 1
LCM(88849,88863) = ( 88849 × 88863) / 1
LCM(88849,88863) = 7895388687 / 1
LCM(88849,88863) = 7895388687

Least Common Multiple (LCM) of 88849 and 88863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88849 and 88863. First we will calculate the prime factors of 88849 and 88863.

Prime Factorization of 88849

Prime factors of 88849 are 23, 3863. Prime factorization of 88849 in exponential form is:

88849 = 231 × 38631

Prime Factorization of 88863

Prime factors of 88863 are 3, 19, 1559. Prime factorization of 88863 in exponential form is:

88863 = 31 × 191 × 15591

Now multiplying the highest exponent prime factors to calculate the LCM of 88849 and 88863.

LCM(88849,88863) = 231 × 38631 × 31 × 191 × 15591
LCM(88849,88863) = 7895388687