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What is the Least Common Multiple of 30681 and 30700?

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 30681 and 30700 is 941906700.

LCM(30681,30700) = 941906700

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Least Common Multiple of 30681 and 30700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30681 and 30700, than apply into the LCM equation.

GCF(30681,30700) = 1
LCM(30681,30700) = ( 30681 × 30700) / 1
LCM(30681,30700) = 941906700 / 1
LCM(30681,30700) = 941906700

Least Common Multiple (LCM) of 30681 and 30700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30681 and 30700. First we will calculate the prime factors of 30681 and 30700.

Prime Factorization of 30681

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

30681 = 32 × 71 × 4871

Prime Factorization of 30700

Prime factors of 30700 are 2, 5, 307. Prime factorization of 30700 in exponential form is:

30700 = 22 × 52 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 30681 and 30700.

LCM(30681,30700) = 32 × 71 × 4871 × 22 × 52 × 3071
LCM(30681,30700) = 941906700