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What is the Least Common Multiple of 6902 and 6918?

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 6902 and 6918 is 23874018.

LCM(6902,6918) = 23874018

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Least Common Multiple of 6902 and 6918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6902 and 6918, than apply into the LCM equation.

GCF(6902,6918) = 2
LCM(6902,6918) = ( 6902 × 6918) / 2
LCM(6902,6918) = 47748036 / 2
LCM(6902,6918) = 23874018

Least Common Multiple (LCM) of 6902 and 6918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6902 and 6918. First we will calculate the prime factors of 6902 and 6918.

Prime Factorization of 6902

Prime factors of 6902 are 2, 7, 17, 29. Prime factorization of 6902 in exponential form is:

6902 = 21 × 71 × 171 × 291

Prime Factorization of 6918

Prime factors of 6918 are 2, 3, 1153. Prime factorization of 6918 in exponential form is:

6918 = 21 × 31 × 11531

Now multiplying the highest exponent prime factors to calculate the LCM of 6902 and 6918.

LCM(6902,6918) = 21 × 71 × 171 × 291 × 31 × 11531
LCM(6902,6918) = 23874018