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What is the Least Common Multiple of 8426 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 8426 and 8432 is 35524016.

LCM(8426,8432) = 35524016

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Least Common Multiple of 8426 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 8426 and 8432, than apply into the LCM equation.

GCF(8426,8432) = 2
LCM(8426,8432) = ( 8426 × 8432) / 2
LCM(8426,8432) = 71048032 / 2
LCM(8426,8432) = 35524016

Least Common Multiple (LCM) of 8426 and 8432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8426 and 8432. First we will calculate the prime factors of 8426 and 8432.

Prime Factorization of 8426

Prime factors of 8426 are 2, 11, 383. Prime factorization of 8426 in exponential form is:

8426 = 21 × 111 × 3831

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 8426 and 8432.

LCM(8426,8432) = 24 × 111 × 3831 × 171 × 311
LCM(8426,8432) = 35524016