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What is the Least Common Multiple of 30558 and 30566?

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 30558 and 30566 is 467017914.

LCM(30558,30566) = 467017914

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Least Common Multiple of 30558 and 30566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30558 and 30566, than apply into the LCM equation.

GCF(30558,30566) = 2
LCM(30558,30566) = ( 30558 × 30566) / 2
LCM(30558,30566) = 934035828 / 2
LCM(30558,30566) = 467017914

Least Common Multiple (LCM) of 30558 and 30566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30558 and 30566. First we will calculate the prime factors of 30558 and 30566.

Prime Factorization of 30558

Prime factors of 30558 are 2, 3, 11, 463. Prime factorization of 30558 in exponential form is:

30558 = 21 × 31 × 111 × 4631

Prime Factorization of 30566

Prime factors of 30566 are 2, 17, 29, 31. Prime factorization of 30566 in exponential form is:

30566 = 21 × 171 × 291 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 30558 and 30566.

LCM(30558,30566) = 21 × 31 × 111 × 4631 × 171 × 291 × 311
LCM(30558,30566) = 467017914