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What is the Least Common Multiple of 3507 and 3526?

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 3507 and 3526 is 12365682.

LCM(3507,3526) = 12365682

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Least Common Multiple of 3507 and 3526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3507 and 3526, than apply into the LCM equation.

GCF(3507,3526) = 1
LCM(3507,3526) = ( 3507 × 3526) / 1
LCM(3507,3526) = 12365682 / 1
LCM(3507,3526) = 12365682

Least Common Multiple (LCM) of 3507 and 3526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3507 and 3526. First we will calculate the prime factors of 3507 and 3526.

Prime Factorization of 3507

Prime factors of 3507 are 3, 7, 167. Prime factorization of 3507 in exponential form is:

3507 = 31 × 71 × 1671

Prime Factorization of 3526

Prime factors of 3526 are 2, 41, 43. Prime factorization of 3526 in exponential form is:

3526 = 21 × 411 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 3507 and 3526.

LCM(3507,3526) = 31 × 71 × 1671 × 21 × 411 × 431
LCM(3507,3526) = 12365682