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What is the Least Common Multiple of 2909 and 2919?

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 2909 and 2919 is 8491371.

LCM(2909,2919) = 8491371

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Least Common Multiple of 2909 and 2919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2909 and 2919, than apply into the LCM equation.

GCF(2909,2919) = 1
LCM(2909,2919) = ( 2909 × 2919) / 1
LCM(2909,2919) = 8491371 / 1
LCM(2909,2919) = 8491371

Least Common Multiple (LCM) of 2909 and 2919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2909 and 2919. First we will calculate the prime factors of 2909 and 2919.

Prime Factorization of 2909

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

2909 = 29091

Prime Factorization of 2919

Prime factors of 2919 are 3, 7, 139. Prime factorization of 2919 in exponential form is:

2919 = 31 × 71 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 2909 and 2919.

LCM(2909,2919) = 29091 × 31 × 71 × 1391
LCM(2909,2919) = 8491371