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What is the Least Common Multiple of 8969 and 8975?

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 8969 and 8975 is 80496775.

LCM(8969,8975) = 80496775

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Least Common Multiple of 8969 and 8975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8969 and 8975, than apply into the LCM equation.

GCF(8969,8975) = 1
LCM(8969,8975) = ( 8969 × 8975) / 1
LCM(8969,8975) = 80496775 / 1
LCM(8969,8975) = 80496775

Least Common Multiple (LCM) of 8969 and 8975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8969 and 8975. First we will calculate the prime factors of 8969 and 8975.

Prime Factorization of 8969

Prime factors of 8969 are 8969. Prime factorization of 8969 in exponential form is:

8969 = 89691

Prime Factorization of 8975

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

8975 = 52 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 8969 and 8975.

LCM(8969,8975) = 89691 × 52 × 3591
LCM(8969,8975) = 80496775