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What is the Least Common Multiple of 88793 and 88805?

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 88793 and 88805 is 7885262365.

LCM(88793,88805) = 7885262365

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Least Common Multiple of 88793 and 88805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88793 and 88805, than apply into the LCM equation.

GCF(88793,88805) = 1
LCM(88793,88805) = ( 88793 × 88805) / 1
LCM(88793,88805) = 7885262365 / 1
LCM(88793,88805) = 7885262365

Least Common Multiple (LCM) of 88793 and 88805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88793 and 88805. First we will calculate the prime factors of 88793 and 88805.

Prime Factorization of 88793

Prime factors of 88793 are 88793. Prime factorization of 88793 in exponential form is:

88793 = 887931

Prime Factorization of 88805

Prime factors of 88805 are 5, 17761. Prime factorization of 88805 in exponential form is:

88805 = 51 × 177611

Now multiplying the highest exponent prime factors to calculate the LCM of 88793 and 88805.

LCM(88793,88805) = 887931 × 51 × 177611
LCM(88793,88805) = 7885262365