What is the Least Common Multiple of 30500 and 30513?
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 30500 and 30513 is 930646500.
LCM(30500,30513) = 930646500
Least Common Multiple of 30500 and 30513 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30500 and 30513, than apply into the LCM equation.
GCF(30500,30513) = 1
LCM(30500,30513) = ( 30500 × 30513) / 1
LCM(30500,30513) = 930646500 / 1
LCM(30500,30513) = 930646500
Least Common Multiple (LCM) of 30500 and 30513 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30500 and 30513. First we will calculate the prime factors of 30500 and 30513.
Prime Factorization of 30500
Prime factors of 30500 are 2, 5, 61. Prime factorization of 30500 in exponential form is:
30500 = 22 × 53 × 611
Prime Factorization of 30513
Prime factors of 30513 are 3, 7, 1453. Prime factorization of 30513 in exponential form is:
30513 = 31 × 71 × 14531
Now multiplying the highest exponent prime factors to calculate the LCM of 30500 and 30513.
LCM(30500,30513) = 22 × 53 × 611 × 31 × 71 × 14531
LCM(30500,30513) = 930646500
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