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What is the Least Common Multiple of 8449 and 8457?

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 8449 and 8457 is 71453193.

LCM(8449,8457) = 71453193

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Least Common Multiple of 8449 and 8457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8449 and 8457, than apply into the LCM equation.

GCF(8449,8457) = 1
LCM(8449,8457) = ( 8449 × 8457) / 1
LCM(8449,8457) = 71453193 / 1
LCM(8449,8457) = 71453193

Least Common Multiple (LCM) of 8449 and 8457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8449 and 8457. First we will calculate the prime factors of 8449 and 8457.

Prime Factorization of 8449

Prime factors of 8449 are 7, 17, 71. Prime factorization of 8449 in exponential form is:

8449 = 71 × 171 × 711

Prime Factorization of 8457

Prime factors of 8457 are 3, 2819. Prime factorization of 8457 in exponential form is:

8457 = 31 × 28191

Now multiplying the highest exponent prime factors to calculate the LCM of 8449 and 8457.

LCM(8449,8457) = 71 × 171 × 711 × 31 × 28191
LCM(8449,8457) = 71453193