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What is the Least Common Multiple of 30580 and 30592?

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 30580 and 30592 is 233875840.

LCM(30580,30592) = 233875840

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Least Common Multiple of 30580 and 30592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30580 and 30592, than apply into the LCM equation.

GCF(30580,30592) = 4
LCM(30580,30592) = ( 30580 × 30592) / 4
LCM(30580,30592) = 935503360 / 4
LCM(30580,30592) = 233875840

Least Common Multiple (LCM) of 30580 and 30592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30580 and 30592. First we will calculate the prime factors of 30580 and 30592.

Prime Factorization of 30580

Prime factors of 30580 are 2, 5, 11, 139. Prime factorization of 30580 in exponential form is:

30580 = 22 × 51 × 111 × 1391

Prime Factorization of 30592

Prime factors of 30592 are 2, 239. Prime factorization of 30592 in exponential form is:

30592 = 27 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 30580 and 30592.

LCM(30580,30592) = 27 × 51 × 111 × 1391 × 2391
LCM(30580,30592) = 233875840