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What is the Least Common Multiple of 66898 and 66908?

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 66898 and 66908 is 2238005692.

LCM(66898,66908) = 2238005692

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Least Common Multiple of 66898 and 66908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66898 and 66908, than apply into the LCM equation.

GCF(66898,66908) = 2
LCM(66898,66908) = ( 66898 × 66908) / 2
LCM(66898,66908) = 4476011384 / 2
LCM(66898,66908) = 2238005692

Least Common Multiple (LCM) of 66898 and 66908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66898 and 66908. First we will calculate the prime factors of 66898 and 66908.

Prime Factorization of 66898

Prime factors of 66898 are 2, 13, 31, 83. Prime factorization of 66898 in exponential form is:

66898 = 21 × 131 × 311 × 831

Prime Factorization of 66908

Prime factors of 66908 are 2, 43, 389. Prime factorization of 66908 in exponential form is:

66908 = 22 × 431 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 66898 and 66908.

LCM(66898,66908) = 22 × 131 × 311 × 831 × 431 × 3891
LCM(66898,66908) = 2238005692