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What is the Least Common Multiple of 2898 and 2909?

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 2898 and 2909 is 8430282.

LCM(2898,2909) = 8430282

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Least Common Multiple of 2898 and 2909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2898 and 2909, than apply into the LCM equation.

GCF(2898,2909) = 1
LCM(2898,2909) = ( 2898 × 2909) / 1
LCM(2898,2909) = 8430282 / 1
LCM(2898,2909) = 8430282

Least Common Multiple (LCM) of 2898 and 2909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2898 and 2909. First we will calculate the prime factors of 2898 and 2909.

Prime Factorization of 2898

Prime factors of 2898 are 2, 3, 7, 23. Prime factorization of 2898 in exponential form is:

2898 = 21 × 32 × 71 × 231

Prime Factorization of 2909

Prime factors of 2909 are 2909. Prime factorization of 2909 in exponential form is:

2909 = 29091

Now multiplying the highest exponent prime factors to calculate the LCM of 2898 and 2909.

LCM(2898,2909) = 21 × 32 × 71 × 231 × 29091
LCM(2898,2909) = 8430282