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What is the Least Common Multiple of 30523 and 30530?

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 30523 and 30530 is 931867190.

LCM(30523,30530) = 931867190

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Least Common Multiple of 30523 and 30530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30523 and 30530, than apply into the LCM equation.

GCF(30523,30530) = 1
LCM(30523,30530) = ( 30523 × 30530) / 1
LCM(30523,30530) = 931867190 / 1
LCM(30523,30530) = 931867190

Least Common Multiple (LCM) of 30523 and 30530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30523 and 30530. First we will calculate the prime factors of 30523 and 30530.

Prime Factorization of 30523

Prime factors of 30523 are 131, 233. Prime factorization of 30523 in exponential form is:

30523 = 1311 × 2331

Prime Factorization of 30530

Prime factors of 30530 are 2, 5, 43, 71. Prime factorization of 30530 in exponential form is:

30530 = 21 × 51 × 431 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 30523 and 30530.

LCM(30523,30530) = 1311 × 2331 × 21 × 51 × 431 × 711
LCM(30523,30530) = 931867190