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What is the Least Common Multiple of 68441 and 68445?

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 68441 and 68445 is 4684444245.

LCM(68441,68445) = 4684444245

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Least Common Multiple of 68441 and 68445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68441 and 68445, than apply into the LCM equation.

GCF(68441,68445) = 1
LCM(68441,68445) = ( 68441 × 68445) / 1
LCM(68441,68445) = 4684444245 / 1
LCM(68441,68445) = 4684444245

Least Common Multiple (LCM) of 68441 and 68445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68441 and 68445. First we will calculate the prime factors of 68441 and 68445.

Prime Factorization of 68441

Prime factors of 68441 are 89, 769. Prime factorization of 68441 in exponential form is:

68441 = 891 × 7691

Prime Factorization of 68445

Prime factors of 68445 are 3, 5, 13. Prime factorization of 68445 in exponential form is:

68445 = 34 × 51 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 68441 and 68445.

LCM(68441,68445) = 891 × 7691 × 34 × 51 × 132
LCM(68441,68445) = 4684444245