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What is the Least Common Multiple of 28678 and 28689?

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 28678 and 28689 is 822743142.

LCM(28678,28689) = 822743142

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Least Common Multiple of 28678 and 28689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28678 and 28689, than apply into the LCM equation.

GCF(28678,28689) = 1
LCM(28678,28689) = ( 28678 × 28689) / 1
LCM(28678,28689) = 822743142 / 1
LCM(28678,28689) = 822743142

Least Common Multiple (LCM) of 28678 and 28689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28678 and 28689. First we will calculate the prime factors of 28678 and 28689.

Prime Factorization of 28678

Prime factors of 28678 are 2, 13, 1103. Prime factorization of 28678 in exponential form is:

28678 = 21 × 131 × 11031

Prime Factorization of 28689

Prime factors of 28689 are 3, 73, 131. Prime factorization of 28689 in exponential form is:

28689 = 31 × 731 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 28678 and 28689.

LCM(28678,28689) = 21 × 131 × 11031 × 31 × 731 × 1311
LCM(28678,28689) = 822743142