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What is the Least Common Multiple of 3442 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 3442 and 3452 is 5940892.

LCM(3442,3452) = 5940892

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Least Common Multiple of 3442 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 3442 and 3452, than apply into the LCM equation.

GCF(3442,3452) = 2
LCM(3442,3452) = ( 3442 × 3452) / 2
LCM(3442,3452) = 11881784 / 2
LCM(3442,3452) = 5940892

Least Common Multiple (LCM) of 3442 and 3452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3442 and 3452. First we will calculate the prime factors of 3442 and 3452.

Prime Factorization of 3442

Prime factors of 3442 are 2, 1721. Prime factorization of 3442 in exponential form is:

3442 = 21 × 17211

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 3442 and 3452.

LCM(3442,3452) = 22 × 17211 × 8631
LCM(3442,3452) = 5940892