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What is the Least Common Multiple of 8827 and 8834?

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 8827 and 8834 is 11139674.

LCM(8827,8834) = 11139674

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Least Common Multiple of 8827 and 8834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8827 and 8834, than apply into the LCM equation.

GCF(8827,8834) = 7
LCM(8827,8834) = ( 8827 × 8834) / 7
LCM(8827,8834) = 77977718 / 7
LCM(8827,8834) = 11139674

Least Common Multiple (LCM) of 8827 and 8834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8827 and 8834. First we will calculate the prime factors of 8827 and 8834.

Prime Factorization of 8827

Prime factors of 8827 are 7, 13, 97. Prime factorization of 8827 in exponential form is:

8827 = 71 × 131 × 971

Prime Factorization of 8834

Prime factors of 8834 are 2, 7, 631. Prime factorization of 8834 in exponential form is:

8834 = 21 × 71 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 8827 and 8834.

LCM(8827,8834) = 71 × 131 × 971 × 21 × 6311
LCM(8827,8834) = 11139674