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What is the Least Common Multiple of 30669 and 30681?

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 30669 and 30681 is 313651863.

LCM(30669,30681) = 313651863

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Least Common Multiple of 30669 and 30681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30669 and 30681, than apply into the LCM equation.

GCF(30669,30681) = 3
LCM(30669,30681) = ( 30669 × 30681) / 3
LCM(30669,30681) = 940955589 / 3
LCM(30669,30681) = 313651863

Least Common Multiple (LCM) of 30669 and 30681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30669 and 30681. First we will calculate the prime factors of 30669 and 30681.

Prime Factorization of 30669

Prime factors of 30669 are 3, 10223. Prime factorization of 30669 in exponential form is:

30669 = 31 × 102231

Prime Factorization of 30681

Prime factors of 30681 are 3, 7, 487. Prime factorization of 30681 in exponential form is:

30681 = 32 × 71 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 30669 and 30681.

LCM(30669,30681) = 32 × 102231 × 71 × 4871
LCM(30669,30681) = 313651863