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What is the Least Common Multiple of 88787 and 88802?

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 88802 is 7884463174.

LCM(88787,88802) = 7884463174

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Least Common Multiple of 88787 and 88802 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 88802, than apply into the LCM equation.

GCF(88787,88802) = 1
LCM(88787,88802) = ( 88787 × 88802) / 1
LCM(88787,88802) = 7884463174 / 1
LCM(88787,88802) = 7884463174

Least Common Multiple (LCM) of 88787 and 88802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88787 and 88802. First we will calculate the prime factors of 88787 and 88802.

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 88802

Prime factors of 88802 are 2, 7, 6343. Prime factorization of 88802 in exponential form is:

88802 = 21 × 71 × 63431

Now multiplying the highest exponent prime factors to calculate the LCM of 88787 and 88802.

LCM(88787,88802) = 191 × 46731 × 21 × 71 × 63431
LCM(88787,88802) = 7884463174