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What is the Least Common Multiple of 30554 and 30563?

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 30554 and 30563 is 933821902.

LCM(30554,30563) = 933821902

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Least Common Multiple of 30554 and 30563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30554 and 30563, than apply into the LCM equation.

GCF(30554,30563) = 1
LCM(30554,30563) = ( 30554 × 30563) / 1
LCM(30554,30563) = 933821902 / 1
LCM(30554,30563) = 933821902

Least Common Multiple (LCM) of 30554 and 30563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30554 and 30563. First we will calculate the prime factors of 30554 and 30563.

Prime Factorization of 30554

Prime factors of 30554 are 2, 15277. Prime factorization of 30554 in exponential form is:

30554 = 21 × 152771

Prime Factorization of 30563

Prime factors of 30563 are 13, 2351. Prime factorization of 30563 in exponential form is:

30563 = 131 × 23511

Now multiplying the highest exponent prime factors to calculate the LCM of 30554 and 30563.

LCM(30554,30563) = 21 × 152771 × 131 × 23511
LCM(30554,30563) = 933821902