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What is the Least Common Multiple of 88878 and 88882?

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 88878 and 88882 is 3949827198.

LCM(88878,88882) = 3949827198

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Least Common Multiple of 88878 and 88882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88878 and 88882, than apply into the LCM equation.

GCF(88878,88882) = 2
LCM(88878,88882) = ( 88878 × 88882) / 2
LCM(88878,88882) = 7899654396 / 2
LCM(88878,88882) = 3949827198

Least Common Multiple (LCM) of 88878 and 88882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88878 and 88882. First we will calculate the prime factors of 88878 and 88882.

Prime Factorization of 88878

Prime factors of 88878 are 2, 3, 14813. Prime factorization of 88878 in exponential form is:

88878 = 21 × 31 × 148131

Prime Factorization of 88882

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

88882 = 21 × 191 × 23391

Now multiplying the highest exponent prime factors to calculate the LCM of 88878 and 88882.

LCM(88878,88882) = 21 × 31 × 148131 × 191 × 23391
LCM(88878,88882) = 3949827198