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What is the Least Common Multiple of 88848 and 88855?

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 88848 and 88855 is 7894589040.

LCM(88848,88855) = 7894589040

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Least Common Multiple of 88848 and 88855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88848 and 88855, than apply into the LCM equation.

GCF(88848,88855) = 1
LCM(88848,88855) = ( 88848 × 88855) / 1
LCM(88848,88855) = 7894589040 / 1
LCM(88848,88855) = 7894589040

Least Common Multiple (LCM) of 88848 and 88855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88848 and 88855. First we will calculate the prime factors of 88848 and 88855.

Prime Factorization of 88848

Prime factors of 88848 are 2, 3, 617. Prime factorization of 88848 in exponential form is:

88848 = 24 × 32 × 6171

Prime Factorization of 88855

Prime factors of 88855 are 5, 13, 1367. Prime factorization of 88855 in exponential form is:

88855 = 51 × 131 × 13671

Now multiplying the highest exponent prime factors to calculate the LCM of 88848 and 88855.

LCM(88848,88855) = 24 × 32 × 6171 × 51 × 131 × 13671
LCM(88848,88855) = 7894589040