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What is the Least Common Multiple of 88882 and 88902?

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 88882 and 88902 is 3950893782.

LCM(88882,88902) = 3950893782

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Least Common Multiple of 88882 and 88902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88882 and 88902, than apply into the LCM equation.

GCF(88882,88902) = 2
LCM(88882,88902) = ( 88882 × 88902) / 2
LCM(88882,88902) = 7901787564 / 2
LCM(88882,88902) = 3950893782

Least Common Multiple (LCM) of 88882 and 88902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88882 and 88902. First we will calculate the prime factors of 88882 and 88902.

Prime Factorization of 88882

Prime factors of 88882 are 2, 19, 2339. Prime factorization of 88882 in exponential form is:

88882 = 21 × 191 × 23391

Prime Factorization of 88902

Prime factors of 88902 are 2, 3, 11, 449. Prime factorization of 88902 in exponential form is:

88902 = 21 × 32 × 111 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 88882 and 88902.

LCM(88882,88902) = 21 × 191 × 23391 × 32 × 111 × 4491
LCM(88882,88902) = 3950893782