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What is the Least Common Multiple of 30501 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 30501 and 30513 is 310225671.

LCM(30501,30513) = 310225671

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Least Common Multiple of 30501 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 30501 and 30513, than apply into the LCM equation.

GCF(30501,30513) = 3
LCM(30501,30513) = ( 30501 × 30513) / 3
LCM(30501,30513) = 930677013 / 3
LCM(30501,30513) = 310225671

Least Common Multiple (LCM) of 30501 and 30513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30501 and 30513. First we will calculate the prime factors of 30501 and 30513.

Prime Factorization of 30501

Prime factors of 30501 are 3, 3389. Prime factorization of 30501 in exponential form is:

30501 = 32 × 33891

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 30501 and 30513.

LCM(30501,30513) = 32 × 33891 × 71 × 14531
LCM(30501,30513) = 310225671