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What is the Least Common Multiple of 65305 and 65324?

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 65305 and 65324 is 4265983820.

LCM(65305,65324) = 4265983820

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Least Common Multiple of 65305 and 65324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65305 and 65324, than apply into the LCM equation.

GCF(65305,65324) = 1
LCM(65305,65324) = ( 65305 × 65324) / 1
LCM(65305,65324) = 4265983820 / 1
LCM(65305,65324) = 4265983820

Least Common Multiple (LCM) of 65305 and 65324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65305 and 65324. First we will calculate the prime factors of 65305 and 65324.

Prime Factorization of 65305

Prime factors of 65305 are 5, 37, 353. Prime factorization of 65305 in exponential form is:

65305 = 51 × 371 × 3531

Prime Factorization of 65324

Prime factors of 65324 are 2, 7, 2333. Prime factorization of 65324 in exponential form is:

65324 = 22 × 71 × 23331

Now multiplying the highest exponent prime factors to calculate the LCM of 65305 and 65324.

LCM(65305,65324) = 51 × 371 × 3531 × 22 × 71 × 23331
LCM(65305,65324) = 4265983820