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What is the Least Common Multiple of 8432 and 8452?

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 8432 and 8452 is 17816816.

LCM(8432,8452) = 17816816

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Least Common Multiple of 8432 and 8452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8432 and 8452, than apply into the LCM equation.

GCF(8432,8452) = 4
LCM(8432,8452) = ( 8432 × 8452) / 4
LCM(8432,8452) = 71267264 / 4
LCM(8432,8452) = 17816816

Least Common Multiple (LCM) of 8432 and 8452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8432 and 8452. First we will calculate the prime factors of 8432 and 8452.

Prime Factorization of 8432

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

8432 = 24 × 171 × 311

Prime Factorization of 8452

Prime factors of 8452 are 2, 2113. Prime factorization of 8452 in exponential form is:

8452 = 22 × 21131

Now multiplying the highest exponent prime factors to calculate the LCM of 8432 and 8452.

LCM(8432,8452) = 24 × 171 × 311 × 21131
LCM(8432,8452) = 17816816