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What is the Least Common Multiple of 62241 and 62255?

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 62241 and 62255 is 3874813455.

LCM(62241,62255) = 3874813455

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Least Common Multiple of 62241 and 62255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62241 and 62255, than apply into the LCM equation.

GCF(62241,62255) = 1
LCM(62241,62255) = ( 62241 × 62255) / 1
LCM(62241,62255) = 3874813455 / 1
LCM(62241,62255) = 3874813455

Least Common Multiple (LCM) of 62241 and 62255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62241 and 62255. First we will calculate the prime factors of 62241 and 62255.

Prime Factorization of 62241

Prime factors of 62241 are 3, 20747. Prime factorization of 62241 in exponential form is:

62241 = 31 × 207471

Prime Factorization of 62255

Prime factors of 62255 are 5, 12451. Prime factorization of 62255 in exponential form is:

62255 = 51 × 124511

Now multiplying the highest exponent prime factors to calculate the LCM of 62241 and 62255.

LCM(62241,62255) = 31 × 207471 × 51 × 124511
LCM(62241,62255) = 3874813455