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What is the Least Common Multiple of 65730 and 65747?

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 65730 and 65747 is 4321550310.

LCM(65730,65747) = 4321550310

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Least Common Multiple of 65730 and 65747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65730 and 65747, than apply into the LCM equation.

GCF(65730,65747) = 1
LCM(65730,65747) = ( 65730 × 65747) / 1
LCM(65730,65747) = 4321550310 / 1
LCM(65730,65747) = 4321550310

Least Common Multiple (LCM) of 65730 and 65747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65730 and 65747. First we will calculate the prime factors of 65730 and 65747.

Prime Factorization of 65730

Prime factors of 65730 are 2, 3, 5, 7, 313. Prime factorization of 65730 in exponential form is:

65730 = 21 × 31 × 51 × 71 × 3131

Prime Factorization of 65747

Prime factors of 65747 are 11, 43, 139. Prime factorization of 65747 in exponential form is:

65747 = 111 × 431 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 65730 and 65747.

LCM(65730,65747) = 21 × 31 × 51 × 71 × 3131 × 111 × 431 × 1391
LCM(65730,65747) = 4321550310