What is the Least Common Multiple of 30512 and 30523?
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 30512 and 30523 is 931317776.
LCM(30512,30523) = 931317776
Least Common Multiple of 30512 and 30523 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30512 and 30523, than apply into the LCM equation.
GCF(30512,30523) = 1
LCM(30512,30523) = ( 30512 × 30523) / 1
LCM(30512,30523) = 931317776 / 1
LCM(30512,30523) = 931317776
Least Common Multiple (LCM) of 30512 and 30523 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30512 and 30523. First we will calculate the prime factors of 30512 and 30523.
Prime Factorization of 30512
Prime factors of 30512 are 2, 1907. Prime factorization of 30512 in exponential form is:
30512 = 24 × 19071
Prime Factorization of 30523
Prime factors of 30523 are 131, 233. Prime factorization of 30523 in exponential form is:
30523 = 1311 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 30512 and 30523.
LCM(30512,30523) = 24 × 19071 × 1311 × 2331
LCM(30512,30523) = 931317776
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