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What is the Least Common Multiple of 6890 and 6903?

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 6890 and 6903 is 3658590.

LCM(6890,6903) = 3658590

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Least Common Multiple of 6890 and 6903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6890 and 6903, than apply into the LCM equation.

GCF(6890,6903) = 13
LCM(6890,6903) = ( 6890 × 6903) / 13
LCM(6890,6903) = 47561670 / 13
LCM(6890,6903) = 3658590

Least Common Multiple (LCM) of 6890 and 6903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6890 and 6903. First we will calculate the prime factors of 6890 and 6903.

Prime Factorization of 6890

Prime factors of 6890 are 2, 5, 13, 53. Prime factorization of 6890 in exponential form is:

6890 = 21 × 51 × 131 × 531

Prime Factorization of 6903

Prime factors of 6903 are 3, 13, 59. Prime factorization of 6903 in exponential form is:

6903 = 32 × 131 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 6890 and 6903.

LCM(6890,6903) = 21 × 51 × 131 × 531 × 32 × 591
LCM(6890,6903) = 3658590