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What is the Least Common Multiple of 30533 and 30551?

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 30533 and 30551 is 932813683.

LCM(30533,30551) = 932813683

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Least Common Multiple of 30533 and 30551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30533 and 30551, than apply into the LCM equation.

GCF(30533,30551) = 1
LCM(30533,30551) = ( 30533 × 30551) / 1
LCM(30533,30551) = 932813683 / 1
LCM(30533,30551) = 932813683

Least Common Multiple (LCM) of 30533 and 30551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30533 and 30551. First we will calculate the prime factors of 30533 and 30551.

Prime Factorization of 30533

Prime factors of 30533 are 19, 1607. Prime factorization of 30533 in exponential form is:

30533 = 191 × 16071

Prime Factorization of 30551

Prime factors of 30551 are 137, 223. Prime factorization of 30551 in exponential form is:

30551 = 1371 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 30533 and 30551.

LCM(30533,30551) = 191 × 16071 × 1371 × 2231
LCM(30533,30551) = 932813683