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What is the Least Common Multiple of 3428 and 3433?

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 3428 and 3433 is 11768324.

LCM(3428,3433) = 11768324

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Least Common Multiple of 3428 and 3433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3428 and 3433, than apply into the LCM equation.

GCF(3428,3433) = 1
LCM(3428,3433) = ( 3428 × 3433) / 1
LCM(3428,3433) = 11768324 / 1
LCM(3428,3433) = 11768324

Least Common Multiple (LCM) of 3428 and 3433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3428 and 3433. First we will calculate the prime factors of 3428 and 3433.

Prime Factorization of 3428

Prime factors of 3428 are 2, 857. Prime factorization of 3428 in exponential form is:

3428 = 22 × 8571

Prime Factorization of 3433

Prime factors of 3433 are 3433. Prime factorization of 3433 in exponential form is:

3433 = 34331

Now multiplying the highest exponent prime factors to calculate the LCM of 3428 and 3433.

LCM(3428,3433) = 22 × 8571 × 34331
LCM(3428,3433) = 11768324