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What is the Least Common Multiple of 3563 and 3577?

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 3563 and 3577 is 1820693.

LCM(3563,3577) = 1820693

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Least Common Multiple of 3563 and 3577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3563 and 3577, than apply into the LCM equation.

GCF(3563,3577) = 7
LCM(3563,3577) = ( 3563 × 3577) / 7
LCM(3563,3577) = 12744851 / 7
LCM(3563,3577) = 1820693

Least Common Multiple (LCM) of 3563 and 3577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3563 and 3577. First we will calculate the prime factors of 3563 and 3577.

Prime Factorization of 3563

Prime factors of 3563 are 7, 509. Prime factorization of 3563 in exponential form is:

3563 = 71 × 5091

Prime Factorization of 3577

Prime factors of 3577 are 7, 73. Prime factorization of 3577 in exponential form is:

3577 = 72 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 3563 and 3577.

LCM(3563,3577) = 72 × 5091 × 731
LCM(3563,3577) = 1820693