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What is the Least Common Multiple of 3409 and 3429?

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 3409 and 3429 is 11689461.

LCM(3409,3429) = 11689461

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Least Common Multiple of 3409 and 3429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3409 and 3429, than apply into the LCM equation.

GCF(3409,3429) = 1
LCM(3409,3429) = ( 3409 × 3429) / 1
LCM(3409,3429) = 11689461 / 1
LCM(3409,3429) = 11689461

Least Common Multiple (LCM) of 3409 and 3429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3409 and 3429. First we will calculate the prime factors of 3409 and 3429.

Prime Factorization of 3409

Prime factors of 3409 are 7, 487. Prime factorization of 3409 in exponential form is:

3409 = 71 × 4871

Prime Factorization of 3429

Prime factors of 3429 are 3, 127. Prime factorization of 3429 in exponential form is:

3429 = 33 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 3409 and 3429.

LCM(3409,3429) = 71 × 4871 × 33 × 1271
LCM(3409,3429) = 11689461