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What is the Least Common Multiple of 65627 and 65643?

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 65627 and 65643 is 4307953161.

LCM(65627,65643) = 4307953161

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Least Common Multiple of 65627 and 65643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65627 and 65643, than apply into the LCM equation.

GCF(65627,65643) = 1
LCM(65627,65643) = ( 65627 × 65643) / 1
LCM(65627,65643) = 4307953161 / 1
LCM(65627,65643) = 4307953161

Least Common Multiple (LCM) of 65627 and 65643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65627 and 65643. First we will calculate the prime factors of 65627 and 65643.

Prime Factorization of 65627

Prime factors of 65627 are 29, 31, 73. Prime factorization of 65627 in exponential form is:

65627 = 291 × 311 × 731

Prime Factorization of 65643

Prime factors of 65643 are 3, 21881. Prime factorization of 65643 in exponential form is:

65643 = 31 × 218811

Now multiplying the highest exponent prime factors to calculate the LCM of 65627 and 65643.

LCM(65627,65643) = 291 × 311 × 731 × 31 × 218811
LCM(65627,65643) = 4307953161