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What is the Least Common Multiple of 3410 and 3421?

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 3410 and 3421 is 1060510.

LCM(3410,3421) = 1060510

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Least Common Multiple of 3410 and 3421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3410 and 3421, than apply into the LCM equation.

GCF(3410,3421) = 11
LCM(3410,3421) = ( 3410 × 3421) / 11
LCM(3410,3421) = 11665610 / 11
LCM(3410,3421) = 1060510

Least Common Multiple (LCM) of 3410 and 3421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3410 and 3421. First we will calculate the prime factors of 3410 and 3421.

Prime Factorization of 3410

Prime factors of 3410 are 2, 5, 11, 31. Prime factorization of 3410 in exponential form is:

3410 = 21 × 51 × 111 × 311

Prime Factorization of 3421

Prime factors of 3421 are 11, 311. Prime factorization of 3421 in exponential form is:

3421 = 111 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 3410 and 3421.

LCM(3410,3421) = 21 × 51 × 111 × 311 × 3111
LCM(3410,3421) = 1060510