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What is the Least Common Multiple of 5572 and 5585?

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 5572 and 5585 is 31119620.

LCM(5572,5585) = 31119620

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Least Common Multiple of 5572 and 5585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5572 and 5585, than apply into the LCM equation.

GCF(5572,5585) = 1
LCM(5572,5585) = ( 5572 × 5585) / 1
LCM(5572,5585) = 31119620 / 1
LCM(5572,5585) = 31119620

Least Common Multiple (LCM) of 5572 and 5585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5572 and 5585. First we will calculate the prime factors of 5572 and 5585.

Prime Factorization of 5572

Prime factors of 5572 are 2, 7, 199. Prime factorization of 5572 in exponential form is:

5572 = 22 × 71 × 1991

Prime Factorization of 5585

Prime factors of 5585 are 5, 1117. Prime factorization of 5585 in exponential form is:

5585 = 51 × 11171

Now multiplying the highest exponent prime factors to calculate the LCM of 5572 and 5585.

LCM(5572,5585) = 22 × 71 × 1991 × 51 × 11171
LCM(5572,5585) = 31119620