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What is the Least Common Multiple of 67241 and 67255?

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 67241 and 67255 is 4522293455.

LCM(67241,67255) = 4522293455

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Least Common Multiple of 67241 and 67255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67241 and 67255, than apply into the LCM equation.

GCF(67241,67255) = 1
LCM(67241,67255) = ( 67241 × 67255) / 1
LCM(67241,67255) = 4522293455 / 1
LCM(67241,67255) = 4522293455

Least Common Multiple (LCM) of 67241 and 67255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67241 and 67255. First we will calculate the prime factors of 67241 and 67255.

Prime Factorization of 67241

Prime factors of 67241 are 19, 3539. Prime factorization of 67241 in exponential form is:

67241 = 191 × 35391

Prime Factorization of 67255

Prime factors of 67255 are 5, 13451. Prime factorization of 67255 in exponential form is:

67255 = 51 × 134511

Now multiplying the highest exponent prime factors to calculate the LCM of 67241 and 67255.

LCM(67241,67255) = 191 × 35391 × 51 × 134511
LCM(67241,67255) = 4522293455