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What is the Least Common Multiple of 8432 and 8444?

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 8444 is 17799952.

LCM(8432,8444) = 17799952

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Least Common Multiple of 8432 and 8444 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 8444, than apply into the LCM equation.

GCF(8432,8444) = 4
LCM(8432,8444) = ( 8432 × 8444) / 4
LCM(8432,8444) = 71199808 / 4
LCM(8432,8444) = 17799952

Least Common Multiple (LCM) of 8432 and 8444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8432 and 8444. First we will calculate the prime factors of 8432 and 8444.

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 8444

Prime factors of 8444 are 2, 2111. Prime factorization of 8444 in exponential form is:

8444 = 22 × 21111

Now multiplying the highest exponent prime factors to calculate the LCM of 8432 and 8444.

LCM(8432,8444) = 24 × 171 × 311 × 21111
LCM(8432,8444) = 17799952