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What is the Least Common Multiple of 88787 and 88804?

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 88787 and 88804 is 7884640748.

LCM(88787,88804) = 7884640748

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Least Common Multiple of 88787 and 88804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88787 and 88804, than apply into the LCM equation.

GCF(88787,88804) = 1
LCM(88787,88804) = ( 88787 × 88804) / 1
LCM(88787,88804) = 7884640748 / 1
LCM(88787,88804) = 7884640748

Least Common Multiple (LCM) of 88787 and 88804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88787 and 88804. First we will calculate the prime factors of 88787 and 88804.

Prime Factorization of 88787

Prime factors of 88787 are 19, 4673. Prime factorization of 88787 in exponential form is:

88787 = 191 × 46731

Prime Factorization of 88804

Prime factors of 88804 are 2, 149. Prime factorization of 88804 in exponential form is:

88804 = 22 × 1492

Now multiplying the highest exponent prime factors to calculate the LCM of 88787 and 88804.

LCM(88787,88804) = 191 × 46731 × 22 × 1492
LCM(88787,88804) = 7884640748