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What is the Least Common Multiple of 28583 and 28603?

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 28583 and 28603 is 817559549.

LCM(28583,28603) = 817559549

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Least Common Multiple of 28583 and 28603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28583 and 28603, than apply into the LCM equation.

GCF(28583,28603) = 1
LCM(28583,28603) = ( 28583 × 28603) / 1
LCM(28583,28603) = 817559549 / 1
LCM(28583,28603) = 817559549

Least Common Multiple (LCM) of 28583 and 28603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28583 and 28603. First we will calculate the prime factors of 28583 and 28603.

Prime Factorization of 28583

Prime factors of 28583 are 101, 283. Prime factorization of 28583 in exponential form is:

28583 = 1011 × 2831

Prime Factorization of 28603

Prime factors of 28603 are 28603. Prime factorization of 28603 in exponential form is:

28603 = 286031

Now multiplying the highest exponent prime factors to calculate the LCM of 28583 and 28603.

LCM(28583,28603) = 1011 × 2831 × 286031
LCM(28583,28603) = 817559549