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What is the Least Common Multiple of 8910 and 8914?

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 8910 and 8914 is 39711870.

LCM(8910,8914) = 39711870

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Least Common Multiple of 8910 and 8914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8910 and 8914, than apply into the LCM equation.

GCF(8910,8914) = 2
LCM(8910,8914) = ( 8910 × 8914) / 2
LCM(8910,8914) = 79423740 / 2
LCM(8910,8914) = 39711870

Least Common Multiple (LCM) of 8910 and 8914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8910 and 8914. First we will calculate the prime factors of 8910 and 8914.

Prime Factorization of 8910

Prime factors of 8910 are 2, 3, 5, 11. Prime factorization of 8910 in exponential form is:

8910 = 21 × 34 × 51 × 111

Prime Factorization of 8914

Prime factors of 8914 are 2, 4457. Prime factorization of 8914 in exponential form is:

8914 = 21 × 44571

Now multiplying the highest exponent prime factors to calculate the LCM of 8910 and 8914.

LCM(8910,8914) = 21 × 34 × 51 × 111 × 44571
LCM(8910,8914) = 39711870