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What is the Least Common Multiple of 3434 and 3452?

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 3434 and 3452 is 5927084.

LCM(3434,3452) = 5927084

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Least Common Multiple of 3434 and 3452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3434 and 3452, than apply into the LCM equation.

GCF(3434,3452) = 2
LCM(3434,3452) = ( 3434 × 3452) / 2
LCM(3434,3452) = 11854168 / 2
LCM(3434,3452) = 5927084

Least Common Multiple (LCM) of 3434 and 3452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3434 and 3452. First we will calculate the prime factors of 3434 and 3452.

Prime Factorization of 3434

Prime factors of 3434 are 2, 17, 101. Prime factorization of 3434 in exponential form is:

3434 = 21 × 171 × 1011

Prime Factorization of 3452

Prime factors of 3452 are 2, 863. Prime factorization of 3452 in exponential form is:

3452 = 22 × 8631

Now multiplying the highest exponent prime factors to calculate the LCM of 3434 and 3452.

LCM(3434,3452) = 22 × 171 × 1011 × 8631
LCM(3434,3452) = 5927084