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What is the Least Common Multiple of 2902 and 2914?

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 2902 and 2914 is 4228214.

LCM(2902,2914) = 4228214

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Least Common Multiple of 2902 and 2914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2902 and 2914, than apply into the LCM equation.

GCF(2902,2914) = 2
LCM(2902,2914) = ( 2902 × 2914) / 2
LCM(2902,2914) = 8456428 / 2
LCM(2902,2914) = 4228214

Least Common Multiple (LCM) of 2902 and 2914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2902 and 2914. First we will calculate the prime factors of 2902 and 2914.

Prime Factorization of 2902

Prime factors of 2902 are 2, 1451. Prime factorization of 2902 in exponential form is:

2902 = 21 × 14511

Prime Factorization of 2914

Prime factors of 2914 are 2, 31, 47. Prime factorization of 2914 in exponential form is:

2914 = 21 × 311 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 2902 and 2914.

LCM(2902,2914) = 21 × 14511 × 311 × 471
LCM(2902,2914) = 4228214