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What is the Least Common Multiple of 8474 and 8488?

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 8474 and 8488 is 35963656.

LCM(8474,8488) = 35963656

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Least Common Multiple of 8474 and 8488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8474 and 8488, than apply into the LCM equation.

GCF(8474,8488) = 2
LCM(8474,8488) = ( 8474 × 8488) / 2
LCM(8474,8488) = 71927312 / 2
LCM(8474,8488) = 35963656

Least Common Multiple (LCM) of 8474 and 8488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8474 and 8488. First we will calculate the prime factors of 8474 and 8488.

Prime Factorization of 8474

Prime factors of 8474 are 2, 19, 223. Prime factorization of 8474 in exponential form is:

8474 = 21 × 191 × 2231

Prime Factorization of 8488

Prime factors of 8488 are 2, 1061. Prime factorization of 8488 in exponential form is:

8488 = 23 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 8474 and 8488.

LCM(8474,8488) = 23 × 191 × 2231 × 10611
LCM(8474,8488) = 35963656