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What is the Least Common Multiple of 68234 and 68241?

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 68234 and 68241 is 4656356394.

LCM(68234,68241) = 4656356394

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Least Common Multiple of 68234 and 68241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68234 and 68241, than apply into the LCM equation.

GCF(68234,68241) = 1
LCM(68234,68241) = ( 68234 × 68241) / 1
LCM(68234,68241) = 4656356394 / 1
LCM(68234,68241) = 4656356394

Least Common Multiple (LCM) of 68234 and 68241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68234 and 68241. First we will calculate the prime factors of 68234 and 68241.

Prime Factorization of 68234

Prime factors of 68234 are 2, 109, 313. Prime factorization of 68234 in exponential form is:

68234 = 21 × 1091 × 3131

Prime Factorization of 68241

Prime factors of 68241 are 3, 23, 43. Prime factorization of 68241 in exponential form is:

68241 = 31 × 232 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 68234 and 68241.

LCM(68234,68241) = 21 × 1091 × 3131 × 31 × 232 × 431
LCM(68234,68241) = 4656356394