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What is the Least Common Multiple of 3579 and 3590?

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 3579 and 3590 is 12848610.

LCM(3579,3590) = 12848610

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Least Common Multiple of 3579 and 3590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3579 and 3590, than apply into the LCM equation.

GCF(3579,3590) = 1
LCM(3579,3590) = ( 3579 × 3590) / 1
LCM(3579,3590) = 12848610 / 1
LCM(3579,3590) = 12848610

Least Common Multiple (LCM) of 3579 and 3590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3579 and 3590. First we will calculate the prime factors of 3579 and 3590.

Prime Factorization of 3579

Prime factors of 3579 are 3, 1193. Prime factorization of 3579 in exponential form is:

3579 = 31 × 11931

Prime Factorization of 3590

Prime factors of 3590 are 2, 5, 359. Prime factorization of 3590 in exponential form is:

3590 = 21 × 51 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 3579 and 3590.

LCM(3579,3590) = 31 × 11931 × 21 × 51 × 3591
LCM(3579,3590) = 12848610