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What is the Least Common Multiple of 3538 and 3545?

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 3538 and 3545 is 12542210.

LCM(3538,3545) = 12542210

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Least Common Multiple of 3538 and 3545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3538 and 3545, than apply into the LCM equation.

GCF(3538,3545) = 1
LCM(3538,3545) = ( 3538 × 3545) / 1
LCM(3538,3545) = 12542210 / 1
LCM(3538,3545) = 12542210

Least Common Multiple (LCM) of 3538 and 3545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3538 and 3545. First we will calculate the prime factors of 3538 and 3545.

Prime Factorization of 3538

Prime factors of 3538 are 2, 29, 61. Prime factorization of 3538 in exponential form is:

3538 = 21 × 291 × 611

Prime Factorization of 3545

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

3545 = 51 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 3538 and 3545.

LCM(3538,3545) = 21 × 291 × 611 × 51 × 7091
LCM(3538,3545) = 12542210