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What is the Least Common Multiple of 8844 and 8850?

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 8844 and 8850 is 13044900.

LCM(8844,8850) = 13044900

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Least Common Multiple of 8844 and 8850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8844 and 8850, than apply into the LCM equation.

GCF(8844,8850) = 6
LCM(8844,8850) = ( 8844 × 8850) / 6
LCM(8844,8850) = 78269400 / 6
LCM(8844,8850) = 13044900

Least Common Multiple (LCM) of 8844 and 8850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8844 and 8850. First we will calculate the prime factors of 8844 and 8850.

Prime Factorization of 8844

Prime factors of 8844 are 2, 3, 11, 67. Prime factorization of 8844 in exponential form is:

8844 = 22 × 31 × 111 × 671

Prime Factorization of 8850

Prime factors of 8850 are 2, 3, 5, 59. Prime factorization of 8850 in exponential form is:

8850 = 21 × 31 × 52 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 8844 and 8850.

LCM(8844,8850) = 22 × 31 × 111 × 671 × 52 × 591
LCM(8844,8850) = 13044900