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What is the Least Common Multiple of 8975 and 8981?

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 8975 and 8981 is 80604475.

LCM(8975,8981) = 80604475

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Least Common Multiple of 8975 and 8981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8975 and 8981, than apply into the LCM equation.

GCF(8975,8981) = 1
LCM(8975,8981) = ( 8975 × 8981) / 1
LCM(8975,8981) = 80604475 / 1
LCM(8975,8981) = 80604475

Least Common Multiple (LCM) of 8975 and 8981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8975 and 8981. First we will calculate the prime factors of 8975 and 8981.

Prime Factorization of 8975

Prime factors of 8975 are 5, 359. Prime factorization of 8975 in exponential form is:

8975 = 52 × 3591

Prime Factorization of 8981

Prime factors of 8981 are 7, 1283. Prime factorization of 8981 in exponential form is:

8981 = 71 × 12831

Now multiplying the highest exponent prime factors to calculate the LCM of 8975 and 8981.

LCM(8975,8981) = 52 × 3591 × 71 × 12831
LCM(8975,8981) = 80604475