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What is the Least Common Multiple of 28029 and 28045?

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 28045 is 786073305.

LCM(28029,28045) = 786073305

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Least Common Multiple of 28029 and 28045 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 28045, than apply into the LCM equation.

GCF(28029,28045) = 1
LCM(28029,28045) = ( 28029 × 28045) / 1
LCM(28029,28045) = 786073305 / 1
LCM(28029,28045) = 786073305

Least Common Multiple (LCM) of 28029 and 28045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28029 and 28045. First we will calculate the prime factors of 28029 and 28045.

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 28045

Prime factors of 28045 are 5, 71, 79. Prime factorization of 28045 in exponential form is:

28045 = 51 × 711 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 28029 and 28045.

LCM(28029,28045) = 31 × 93431 × 51 × 711 × 791
LCM(28029,28045) = 786073305