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What is the Least Common Multiple of 18869 and 18876?

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 18869 and 18876 is 356171244.

LCM(18869,18876) = 356171244

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Least Common Multiple of 18869 and 18876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18869 and 18876, than apply into the LCM equation.

GCF(18869,18876) = 1
LCM(18869,18876) = ( 18869 × 18876) / 1
LCM(18869,18876) = 356171244 / 1
LCM(18869,18876) = 356171244

Least Common Multiple (LCM) of 18869 and 18876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18869 and 18876. First we will calculate the prime factors of 18869 and 18876.

Prime Factorization of 18869

Prime factors of 18869 are 18869. Prime factorization of 18869 in exponential form is:

18869 = 188691

Prime Factorization of 18876

Prime factors of 18876 are 2, 3, 11, 13. Prime factorization of 18876 in exponential form is:

18876 = 22 × 31 × 112 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 18869 and 18876.

LCM(18869,18876) = 188691 × 22 × 31 × 112 × 131
LCM(18869,18876) = 356171244