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What is the Least Common Multiple of 30268 and 30284?

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 30268 and 30284 is 229159028.

LCM(30268,30284) = 229159028

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Least Common Multiple of 30268 and 30284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30268 and 30284, than apply into the LCM equation.

GCF(30268,30284) = 4
LCM(30268,30284) = ( 30268 × 30284) / 4
LCM(30268,30284) = 916636112 / 4
LCM(30268,30284) = 229159028

Least Common Multiple (LCM) of 30268 and 30284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30268 and 30284. First we will calculate the prime factors of 30268 and 30284.

Prime Factorization of 30268

Prime factors of 30268 are 2, 7, 23, 47. Prime factorization of 30268 in exponential form is:

30268 = 22 × 71 × 231 × 471

Prime Factorization of 30284

Prime factors of 30284 are 2, 67, 113. Prime factorization of 30284 in exponential form is:

30284 = 22 × 671 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 30268 and 30284.

LCM(30268,30284) = 22 × 71 × 231 × 471 × 671 × 1131
LCM(30268,30284) = 229159028