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What is the Least Common Multiple of 8427 and 8432?

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 8427 and 8432 is 71056464.

LCM(8427,8432) = 71056464

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Least Common Multiple of 8427 and 8432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8427 and 8432, than apply into the LCM equation.

GCF(8427,8432) = 1
LCM(8427,8432) = ( 8427 × 8432) / 1
LCM(8427,8432) = 71056464 / 1
LCM(8427,8432) = 71056464

Least Common Multiple (LCM) of 8427 and 8432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8427 and 8432. First we will calculate the prime factors of 8427 and 8432.

Prime Factorization of 8427

Prime factors of 8427 are 3, 53. Prime factorization of 8427 in exponential form is:

8427 = 31 × 532

Prime Factorization of 8432

Prime factors of 8432 are 2, 17, 31. Prime factorization of 8432 in exponential form is:

8432 = 24 × 171 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 8427 and 8432.

LCM(8427,8432) = 31 × 532 × 24 × 171 × 311
LCM(8427,8432) = 71056464