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What is the Least Common Multiple of 8898 and 8903?

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 8898 and 8903 is 79218894.

LCM(8898,8903) = 79218894

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Least Common Multiple of 8898 and 8903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8898 and 8903, than apply into the LCM equation.

GCF(8898,8903) = 1
LCM(8898,8903) = ( 8898 × 8903) / 1
LCM(8898,8903) = 79218894 / 1
LCM(8898,8903) = 79218894

Least Common Multiple (LCM) of 8898 and 8903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8898 and 8903. First we will calculate the prime factors of 8898 and 8903.

Prime Factorization of 8898

Prime factors of 8898 are 2, 3, 1483. Prime factorization of 8898 in exponential form is:

8898 = 21 × 31 × 14831

Prime Factorization of 8903

Prime factors of 8903 are 29, 307. Prime factorization of 8903 in exponential form is:

8903 = 291 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 8898 and 8903.

LCM(8898,8903) = 21 × 31 × 14831 × 291 × 3071
LCM(8898,8903) = 79218894