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What is the Least Common Multiple of 3558 and 3570?

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 3558 and 3570 is 2117010.

LCM(3558,3570) = 2117010

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Least Common Multiple of 3558 and 3570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3558 and 3570, than apply into the LCM equation.

GCF(3558,3570) = 6
LCM(3558,3570) = ( 3558 × 3570) / 6
LCM(3558,3570) = 12702060 / 6
LCM(3558,3570) = 2117010

Least Common Multiple (LCM) of 3558 and 3570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3558 and 3570. First we will calculate the prime factors of 3558 and 3570.

Prime Factorization of 3558

Prime factors of 3558 are 2, 3, 593. Prime factorization of 3558 in exponential form is:

3558 = 21 × 31 × 5931

Prime Factorization of 3570

Prime factors of 3570 are 2, 3, 5, 7, 17. Prime factorization of 3570 in exponential form is:

3570 = 21 × 31 × 51 × 71 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 3558 and 3570.

LCM(3558,3570) = 21 × 31 × 5931 × 51 × 71 × 171
LCM(3558,3570) = 2117010