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What is the Least Common Multiple of 30316 and 30328?

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 30316 and 30328 is 229855912.

LCM(30316,30328) = 229855912

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Least Common Multiple of 30316 and 30328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30316 and 30328, than apply into the LCM equation.

GCF(30316,30328) = 4
LCM(30316,30328) = ( 30316 × 30328) / 4
LCM(30316,30328) = 919423648 / 4
LCM(30316,30328) = 229855912

Least Common Multiple (LCM) of 30316 and 30328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30316 and 30328. First we will calculate the prime factors of 30316 and 30328.

Prime Factorization of 30316

Prime factors of 30316 are 2, 11, 13, 53. Prime factorization of 30316 in exponential form is:

30316 = 22 × 111 × 131 × 531

Prime Factorization of 30328

Prime factors of 30328 are 2, 17, 223. Prime factorization of 30328 in exponential form is:

30328 = 23 × 171 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 30316 and 30328.

LCM(30316,30328) = 23 × 111 × 131 × 531 × 171 × 2231
LCM(30316,30328) = 229855912