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What is the Least Common Multiple of 8837 and 8857?

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 8837 and 8857 is 78269309.

LCM(8837,8857) = 78269309

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Least Common Multiple of 8837 and 8857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8837 and 8857, than apply into the LCM equation.

GCF(8837,8857) = 1
LCM(8837,8857) = ( 8837 × 8857) / 1
LCM(8837,8857) = 78269309 / 1
LCM(8837,8857) = 78269309

Least Common Multiple (LCM) of 8837 and 8857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8837 and 8857. First we will calculate the prime factors of 8837 and 8857.

Prime Factorization of 8837

Prime factors of 8837 are 8837. Prime factorization of 8837 in exponential form is:

8837 = 88371

Prime Factorization of 8857

Prime factors of 8857 are 17, 521. Prime factorization of 8857 in exponential form is:

8857 = 171 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 8837 and 8857.

LCM(8837,8857) = 88371 × 171 × 5211
LCM(8837,8857) = 78269309