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What is the Least Common Multiple of 5770 and 5785?

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 5770 and 5785 is 6675890.

LCM(5770,5785) = 6675890

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Least Common Multiple of 5770 and 5785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5770 and 5785, than apply into the LCM equation.

GCF(5770,5785) = 5
LCM(5770,5785) = ( 5770 × 5785) / 5
LCM(5770,5785) = 33379450 / 5
LCM(5770,5785) = 6675890

Least Common Multiple (LCM) of 5770 and 5785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5770 and 5785. First we will calculate the prime factors of 5770 and 5785.

Prime Factorization of 5770

Prime factors of 5770 are 2, 5, 577. Prime factorization of 5770 in exponential form is:

5770 = 21 × 51 × 5771

Prime Factorization of 5785

Prime factors of 5785 are 5, 13, 89. Prime factorization of 5785 in exponential form is:

5785 = 51 × 131 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 5770 and 5785.

LCM(5770,5785) = 21 × 51 × 5771 × 131 × 891
LCM(5770,5785) = 6675890