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What is the Least Common Multiple of 28029 and 28034?

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 28029 and 28034 is 785764986.

LCM(28029,28034) = 785764986

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Least Common Multiple of 28029 and 28034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28029 and 28034, than apply into the LCM equation.

GCF(28029,28034) = 1
LCM(28029,28034) = ( 28029 × 28034) / 1
LCM(28029,28034) = 785764986 / 1
LCM(28029,28034) = 785764986

Least Common Multiple (LCM) of 28029 and 28034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28029 and 28034. First we will calculate the prime factors of 28029 and 28034.

Prime Factorization of 28029

Prime factors of 28029 are 3, 9343. Prime factorization of 28029 in exponential form is:

28029 = 31 × 93431

Prime Factorization of 28034

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

28034 = 21 × 1071 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 28029 and 28034.

LCM(28029,28034) = 31 × 93431 × 21 × 1071 × 1311
LCM(28029,28034) = 785764986