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What is the Least Common Multiple of 30243 and 30256?

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 30243 and 30256 is 915032208.

LCM(30243,30256) = 915032208

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Least Common Multiple of 30243 and 30256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30243 and 30256, than apply into the LCM equation.

GCF(30243,30256) = 1
LCM(30243,30256) = ( 30243 × 30256) / 1
LCM(30243,30256) = 915032208 / 1
LCM(30243,30256) = 915032208

Least Common Multiple (LCM) of 30243 and 30256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30243 and 30256. First we will calculate the prime factors of 30243 and 30256.

Prime Factorization of 30243

Prime factors of 30243 are 3, 17, 593. Prime factorization of 30243 in exponential form is:

30243 = 31 × 171 × 5931

Prime Factorization of 30256

Prime factors of 30256 are 2, 31, 61. Prime factorization of 30256 in exponential form is:

30256 = 24 × 311 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 30243 and 30256.

LCM(30243,30256) = 31 × 171 × 5931 × 24 × 311 × 611
LCM(30243,30256) = 915032208