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What is the Least Common Multiple of 28034 and 28047?

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 28034 and 28047 is 786269598.

LCM(28034,28047) = 786269598

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Least Common Multiple of 28034 and 28047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28034 and 28047, than apply into the LCM equation.

GCF(28034,28047) = 1
LCM(28034,28047) = ( 28034 × 28047) / 1
LCM(28034,28047) = 786269598 / 1
LCM(28034,28047) = 786269598

Least Common Multiple (LCM) of 28034 and 28047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28034 and 28047. First we will calculate the prime factors of 28034 and 28047.

Prime Factorization of 28034

Prime factors of 28034 are 2, 107, 131. Prime factorization of 28034 in exponential form is:

28034 = 21 × 1071 × 1311

Prime Factorization of 28047

Prime factors of 28047 are 3, 9349. Prime factorization of 28047 in exponential form is:

28047 = 31 × 93491

Now multiplying the highest exponent prime factors to calculate the LCM of 28034 and 28047.

LCM(28034,28047) = 21 × 1071 × 1311 × 31 × 93491
LCM(28034,28047) = 786269598