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What is the Least Common Multiple of 6909 and 6919?

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 6909 and 6919 is 47803371.

LCM(6909,6919) = 47803371

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Least Common Multiple of 6909 and 6919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6909 and 6919, than apply into the LCM equation.

GCF(6909,6919) = 1
LCM(6909,6919) = ( 6909 × 6919) / 1
LCM(6909,6919) = 47803371 / 1
LCM(6909,6919) = 47803371

Least Common Multiple (LCM) of 6909 and 6919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6909 and 6919. First we will calculate the prime factors of 6909 and 6919.

Prime Factorization of 6909

Prime factors of 6909 are 3, 7, 47. Prime factorization of 6909 in exponential form is:

6909 = 31 × 72 × 471

Prime Factorization of 6919

Prime factors of 6919 are 11, 17, 37. Prime factorization of 6919 in exponential form is:

6919 = 111 × 171 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 6909 and 6919.

LCM(6909,6919) = 31 × 72 × 471 × 111 × 171 × 371
LCM(6909,6919) = 47803371