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What is the Least Common Multiple of 30518 and 30538?

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 30518 and 30538 is 465979342.

LCM(30518,30538) = 465979342

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Least Common Multiple of 30518 and 30538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30518 and 30538, than apply into the LCM equation.

GCF(30518,30538) = 2
LCM(30518,30538) = ( 30518 × 30538) / 2
LCM(30518,30538) = 931958684 / 2
LCM(30518,30538) = 465979342

Least Common Multiple (LCM) of 30518 and 30538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30518 and 30538. First we will calculate the prime factors of 30518 and 30538.

Prime Factorization of 30518

Prime factors of 30518 are 2, 15259. Prime factorization of 30518 in exponential form is:

30518 = 21 × 152591

Prime Factorization of 30538

Prime factors of 30538 are 2, 15269. Prime factorization of 30538 in exponential form is:

30538 = 21 × 152691

Now multiplying the highest exponent prime factors to calculate the LCM of 30518 and 30538.

LCM(30518,30538) = 21 × 152591 × 152691
LCM(30518,30538) = 465979342