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What is the Least Common Multiple of 88881 and 88887?

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 88881 and 88887 is 2633455149.

LCM(88881,88887) = 2633455149

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Least Common Multiple of 88881 and 88887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88881 and 88887, than apply into the LCM equation.

GCF(88881,88887) = 3
LCM(88881,88887) = ( 88881 × 88887) / 3
LCM(88881,88887) = 7900365447 / 3
LCM(88881,88887) = 2633455149

Least Common Multiple (LCM) of 88881 and 88887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88881 and 88887. First we will calculate the prime factors of 88881 and 88887.

Prime Factorization of 88881

Prime factors of 88881 are 3, 13, 43, 53. Prime factorization of 88881 in exponential form is:

88881 = 31 × 131 × 431 × 531

Prime Factorization of 88887

Prime factors of 88887 are 3, 29629. Prime factorization of 88887 in exponential form is:

88887 = 31 × 296291

Now multiplying the highest exponent prime factors to calculate the LCM of 88881 and 88887.

LCM(88881,88887) = 31 × 131 × 431 × 531 × 296291
LCM(88881,88887) = 2633455149