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What is the Least Common Multiple of 3421 and 3427?

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 3421 and 3427 is 11723767.

LCM(3421,3427) = 11723767

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Least Common Multiple of 3421 and 3427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3421 and 3427, than apply into the LCM equation.

GCF(3421,3427) = 1
LCM(3421,3427) = ( 3421 × 3427) / 1
LCM(3421,3427) = 11723767 / 1
LCM(3421,3427) = 11723767

Least Common Multiple (LCM) of 3421 and 3427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3421 and 3427. First we will calculate the prime factors of 3421 and 3427.

Prime Factorization of 3421

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

3421 = 111 × 3111

Prime Factorization of 3427

Prime factors of 3427 are 23, 149. Prime factorization of 3427 in exponential form is:

3427 = 231 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 3421 and 3427.

LCM(3421,3427) = 111 × 3111 × 231 × 1491
LCM(3421,3427) = 11723767