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What is the Least Common Multiple of 3555 and 3563?

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 3555 and 3563 is 12666465.

LCM(3555,3563) = 12666465

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Least Common Multiple of 3555 and 3563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3555 and 3563, than apply into the LCM equation.

GCF(3555,3563) = 1
LCM(3555,3563) = ( 3555 × 3563) / 1
LCM(3555,3563) = 12666465 / 1
LCM(3555,3563) = 12666465

Least Common Multiple (LCM) of 3555 and 3563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3555 and 3563. First we will calculate the prime factors of 3555 and 3563.

Prime Factorization of 3555

Prime factors of 3555 are 3, 5, 79. Prime factorization of 3555 in exponential form is:

3555 = 32 × 51 × 791

Prime Factorization of 3563

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

3563 = 71 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 3555 and 3563.

LCM(3555,3563) = 32 × 51 × 791 × 71 × 5091
LCM(3555,3563) = 12666465