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What is the Least Common Multiple of 29902 and 29914?

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 29902 and 29914 is 447244214.

LCM(29902,29914) = 447244214

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Least Common Multiple of 29902 and 29914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29902 and 29914, than apply into the LCM equation.

GCF(29902,29914) = 2
LCM(29902,29914) = ( 29902 × 29914) / 2
LCM(29902,29914) = 894488428 / 2
LCM(29902,29914) = 447244214

Least Common Multiple (LCM) of 29902 and 29914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29902 and 29914. First we will calculate the prime factors of 29902 and 29914.

Prime Factorization of 29902

Prime factors of 29902 are 2, 14951. Prime factorization of 29902 in exponential form is:

29902 = 21 × 149511

Prime Factorization of 29914

Prime factors of 29914 are 2, 14957. Prime factorization of 29914 in exponential form is:

29914 = 21 × 149571

Now multiplying the highest exponent prime factors to calculate the LCM of 29902 and 29914.

LCM(29902,29914) = 21 × 149511 × 149571
LCM(29902,29914) = 447244214