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What is the Least Common Multiple of 83903 and 83910?

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 83903 and 83910 is 7040300730.

LCM(83903,83910) = 7040300730

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Least Common Multiple of 83903 and 83910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83903 and 83910, than apply into the LCM equation.

GCF(83903,83910) = 1
LCM(83903,83910) = ( 83903 × 83910) / 1
LCM(83903,83910) = 7040300730 / 1
LCM(83903,83910) = 7040300730

Least Common Multiple (LCM) of 83903 and 83910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83903 and 83910. First we will calculate the prime factors of 83903 and 83910.

Prime Factorization of 83903

Prime factors of 83903 are 83903. Prime factorization of 83903 in exponential form is:

83903 = 839031

Prime Factorization of 83910

Prime factors of 83910 are 2, 3, 5, 2797. Prime factorization of 83910 in exponential form is:

83910 = 21 × 31 × 51 × 27971

Now multiplying the highest exponent prime factors to calculate the LCM of 83903 and 83910.

LCM(83903,83910) = 839031 × 21 × 31 × 51 × 27971
LCM(83903,83910) = 7040300730