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What is the Least Common Multiple of 88789 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 88789 and 88805 is 7884907145.

LCM(88789,88805) = 7884907145

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Least Common Multiple of 88789 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 88789 and 88805, than apply into the LCM equation.

GCF(88789,88805) = 1
LCM(88789,88805) = ( 88789 × 88805) / 1
LCM(88789,88805) = 7884907145 / 1
LCM(88789,88805) = 7884907145

Least Common Multiple (LCM) of 88789 and 88805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88789 and 88805. First we will calculate the prime factors of 88789 and 88805.

Prime Factorization of 88789

Prime factors of 88789 are 88789. Prime factorization of 88789 in exponential form is:

88789 = 887891

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 88789 and 88805.

LCM(88789,88805) = 887891 × 51 × 177611
LCM(88789,88805) = 7884907145