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What is the Least Common Multiple of 5730 and 5739?

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 5730 and 5739 is 10961490.

LCM(5730,5739) = 10961490

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Least Common Multiple of 5730 and 5739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5730 and 5739, than apply into the LCM equation.

GCF(5730,5739) = 3
LCM(5730,5739) = ( 5730 × 5739) / 3
LCM(5730,5739) = 32884470 / 3
LCM(5730,5739) = 10961490

Least Common Multiple (LCM) of 5730 and 5739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5730 and 5739. First we will calculate the prime factors of 5730 and 5739.

Prime Factorization of 5730

Prime factors of 5730 are 2, 3, 5, 191. Prime factorization of 5730 in exponential form is:

5730 = 21 × 31 × 51 × 1911

Prime Factorization of 5739

Prime factors of 5739 are 3, 1913. Prime factorization of 5739 in exponential form is:

5739 = 31 × 19131

Now multiplying the highest exponent prime factors to calculate the LCM of 5730 and 5739.

LCM(5730,5739) = 21 × 31 × 51 × 1911 × 19131
LCM(5730,5739) = 10961490