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What is the Least Common Multiple of 88855 and 88866?

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 88855 and 88866 is 7896188430.

LCM(88855,88866) = 7896188430

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Least Common Multiple of 88855 and 88866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88855 and 88866, than apply into the LCM equation.

GCF(88855,88866) = 1
LCM(88855,88866) = ( 88855 × 88866) / 1
LCM(88855,88866) = 7896188430 / 1
LCM(88855,88866) = 7896188430

Least Common Multiple (LCM) of 88855 and 88866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88855 and 88866. First we will calculate the prime factors of 88855 and 88866.

Prime Factorization of 88855

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

88855 = 51 × 131 × 13671

Prime Factorization of 88866

Prime factors of 88866 are 2, 3, 4937. Prime factorization of 88866 in exponential form is:

88866 = 21 × 32 × 49371

Now multiplying the highest exponent prime factors to calculate the LCM of 88855 and 88866.

LCM(88855,88866) = 51 × 131 × 13671 × 21 × 32 × 49371
LCM(88855,88866) = 7896188430