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What is the Least Common Multiple of 88794 and 88813?

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 88794 and 88813 is 7886061522.

LCM(88794,88813) = 7886061522

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Least Common Multiple of 88794 and 88813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88794 and 88813, than apply into the LCM equation.

GCF(88794,88813) = 1
LCM(88794,88813) = ( 88794 × 88813) / 1
LCM(88794,88813) = 7886061522 / 1
LCM(88794,88813) = 7886061522

Least Common Multiple (LCM) of 88794 and 88813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88794 and 88813. First we will calculate the prime factors of 88794 and 88813.

Prime Factorization of 88794

Prime factors of 88794 are 2, 3, 4933. Prime factorization of 88794 in exponential form is:

88794 = 21 × 32 × 49331

Prime Factorization of 88813

Prime factors of 88813 are 88813. Prime factorization of 88813 in exponential form is:

88813 = 888131

Now multiplying the highest exponent prime factors to calculate the LCM of 88794 and 88813.

LCM(88794,88813) = 21 × 32 × 49331 × 888131
LCM(88794,88813) = 7886061522