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What is the Least Common Multiple of 3560 and 3578?

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 3560 and 3578 is 6368840.

LCM(3560,3578) = 6368840

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Least Common Multiple of 3560 and 3578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3560 and 3578, than apply into the LCM equation.

GCF(3560,3578) = 2
LCM(3560,3578) = ( 3560 × 3578) / 2
LCM(3560,3578) = 12737680 / 2
LCM(3560,3578) = 6368840

Least Common Multiple (LCM) of 3560 and 3578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3560 and 3578. First we will calculate the prime factors of 3560 and 3578.

Prime Factorization of 3560

Prime factors of 3560 are 2, 5, 89. Prime factorization of 3560 in exponential form is:

3560 = 23 × 51 × 891

Prime Factorization of 3578

Prime factors of 3578 are 2, 1789. Prime factorization of 3578 in exponential form is:

3578 = 21 × 17891

Now multiplying the highest exponent prime factors to calculate the LCM of 3560 and 3578.

LCM(3560,3578) = 23 × 51 × 891 × 17891
LCM(3560,3578) = 6368840