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What is the Least Common Multiple of 88866 and 88876?

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 88866 and 88876 is 3949027308.

LCM(88866,88876) = 3949027308

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Least Common Multiple of 88866 and 88876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88866 and 88876, than apply into the LCM equation.

GCF(88866,88876) = 2
LCM(88866,88876) = ( 88866 × 88876) / 2
LCM(88866,88876) = 7898054616 / 2
LCM(88866,88876) = 3949027308

Least Common Multiple (LCM) of 88866 and 88876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88866 and 88876. First we will calculate the prime factors of 88866 and 88876.

Prime Factorization of 88866

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

88866 = 21 × 32 × 49371

Prime Factorization of 88876

Prime factors of 88876 are 2, 17, 1307. Prime factorization of 88876 in exponential form is:

88876 = 22 × 171 × 13071

Now multiplying the highest exponent prime factors to calculate the LCM of 88866 and 88876.

LCM(88866,88876) = 22 × 32 × 49371 × 171 × 13071
LCM(88866,88876) = 3949027308