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What is the Least Common Multiple of 5751 and 5770?

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 5751 and 5770 is 33183270.

LCM(5751,5770) = 33183270

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Least Common Multiple of 5751 and 5770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5751 and 5770, than apply into the LCM equation.

GCF(5751,5770) = 1
LCM(5751,5770) = ( 5751 × 5770) / 1
LCM(5751,5770) = 33183270 / 1
LCM(5751,5770) = 33183270

Least Common Multiple (LCM) of 5751 and 5770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5751 and 5770. First we will calculate the prime factors of 5751 and 5770.

Prime Factorization of 5751

Prime factors of 5751 are 3, 71. Prime factorization of 5751 in exponential form is:

5751 = 34 × 711

Prime Factorization of 5770

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

5770 = 21 × 51 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 5751 and 5770.

LCM(5751,5770) = 34 × 711 × 21 × 51 × 5771
LCM(5751,5770) = 33183270