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What is the Least Common Multiple of 6898 and 6910?

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 6898 and 6910 is 23832590.

LCM(6898,6910) = 23832590

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Least Common Multiple of 6898 and 6910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6898 and 6910, than apply into the LCM equation.

GCF(6898,6910) = 2
LCM(6898,6910) = ( 6898 × 6910) / 2
LCM(6898,6910) = 47665180 / 2
LCM(6898,6910) = 23832590

Least Common Multiple (LCM) of 6898 and 6910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6898 and 6910. First we will calculate the prime factors of 6898 and 6910.

Prime Factorization of 6898

Prime factors of 6898 are 2, 3449. Prime factorization of 6898 in exponential form is:

6898 = 21 × 34491

Prime Factorization of 6910

Prime factors of 6910 are 2, 5, 691. Prime factorization of 6910 in exponential form is:

6910 = 21 × 51 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 6898 and 6910.

LCM(6898,6910) = 21 × 34491 × 51 × 6911
LCM(6898,6910) = 23832590