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What is the Least Common Multiple of 28603 and 28608?

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 28603 and 28608 is 818274624.

LCM(28603,28608) = 818274624

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Least Common Multiple of 28603 and 28608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28603 and 28608, than apply into the LCM equation.

GCF(28603,28608) = 1
LCM(28603,28608) = ( 28603 × 28608) / 1
LCM(28603,28608) = 818274624 / 1
LCM(28603,28608) = 818274624

Least Common Multiple (LCM) of 28603 and 28608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28603 and 28608. First we will calculate the prime factors of 28603 and 28608.

Prime Factorization of 28603

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

28603 = 286031

Prime Factorization of 28608

Prime factors of 28608 are 2, 3, 149. Prime factorization of 28608 in exponential form is:

28608 = 26 × 31 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 28603 and 28608.

LCM(28603,28608) = 286031 × 26 × 31 × 1491
LCM(28603,28608) = 818274624