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What is the Least Common Multiple of 56902 and 56914?

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 56902 and 56914 is 1619260214.

LCM(56902,56914) = 1619260214

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Least Common Multiple of 56902 and 56914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56902 and 56914, than apply into the LCM equation.

GCF(56902,56914) = 2
LCM(56902,56914) = ( 56902 × 56914) / 2
LCM(56902,56914) = 3238520428 / 2
LCM(56902,56914) = 1619260214

Least Common Multiple (LCM) of 56902 and 56914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56902 and 56914. First we will calculate the prime factors of 56902 and 56914.

Prime Factorization of 56902

Prime factors of 56902 are 2, 23, 1237. Prime factorization of 56902 in exponential form is:

56902 = 21 × 231 × 12371

Prime Factorization of 56914

Prime factors of 56914 are 2, 11, 13, 199. Prime factorization of 56914 in exponential form is:

56914 = 21 × 111 × 131 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 56902 and 56914.

LCM(56902,56914) = 21 × 231 × 12371 × 111 × 131 × 1991
LCM(56902,56914) = 1619260214