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What is the Least Common Multiple of 3545 and 3556?

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 3545 and 3556 is 12606020.

LCM(3545,3556) = 12606020

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Least Common Multiple of 3545 and 3556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3545 and 3556, than apply into the LCM equation.

GCF(3545,3556) = 1
LCM(3545,3556) = ( 3545 × 3556) / 1
LCM(3545,3556) = 12606020 / 1
LCM(3545,3556) = 12606020

Least Common Multiple (LCM) of 3545 and 3556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3545 and 3556. First we will calculate the prime factors of 3545 and 3556.

Prime Factorization of 3545

Prime factors of 3545 are 5, 709. Prime factorization of 3545 in exponential form is:

3545 = 51 × 7091

Prime Factorization of 3556

Prime factors of 3556 are 2, 7, 127. Prime factorization of 3556 in exponential form is:

3556 = 22 × 71 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 3545 and 3556.

LCM(3545,3556) = 51 × 7091 × 22 × 71 × 1271
LCM(3545,3556) = 12606020