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What is the Least Common Multiple of 8806 and 8826?

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 8806 and 8826 is 38860878.

LCM(8806,8826) = 38860878

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Least Common Multiple of 8806 and 8826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8806 and 8826, than apply into the LCM equation.

GCF(8806,8826) = 2
LCM(8806,8826) = ( 8806 × 8826) / 2
LCM(8806,8826) = 77721756 / 2
LCM(8806,8826) = 38860878

Least Common Multiple (LCM) of 8806 and 8826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8806 and 8826. First we will calculate the prime factors of 8806 and 8826.

Prime Factorization of 8806

Prime factors of 8806 are 2, 7, 17, 37. Prime factorization of 8806 in exponential form is:

8806 = 21 × 71 × 171 × 371

Prime Factorization of 8826

Prime factors of 8826 are 2, 3, 1471. Prime factorization of 8826 in exponential form is:

8826 = 21 × 31 × 14711

Now multiplying the highest exponent prime factors to calculate the LCM of 8806 and 8826.

LCM(8806,8826) = 21 × 71 × 171 × 371 × 31 × 14711
LCM(8806,8826) = 38860878