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What is the Least Common Multiple of 30908 and 30914?

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 30908 and 30914 is 477744956.

LCM(30908,30914) = 477744956

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Least Common Multiple of 30908 and 30914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30908 and 30914, than apply into the LCM equation.

GCF(30908,30914) = 2
LCM(30908,30914) = ( 30908 × 30914) / 2
LCM(30908,30914) = 955489912 / 2
LCM(30908,30914) = 477744956

Least Common Multiple (LCM) of 30908 and 30914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30908 and 30914. First we will calculate the prime factors of 30908 and 30914.

Prime Factorization of 30908

Prime factors of 30908 are 2, 7727. Prime factorization of 30908 in exponential form is:

30908 = 22 × 77271

Prime Factorization of 30914

Prime factors of 30914 are 2, 13, 29, 41. Prime factorization of 30914 in exponential form is:

30914 = 21 × 131 × 291 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 30908 and 30914.

LCM(30908,30914) = 22 × 77271 × 131 × 291 × 411
LCM(30908,30914) = 477744956