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What is the Least Common Multiple of 62841 and 62853?

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 62841 and 62853 is 1316581791.

LCM(62841,62853) = 1316581791

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Least Common Multiple of 62841 and 62853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62841 and 62853, than apply into the LCM equation.

GCF(62841,62853) = 3
LCM(62841,62853) = ( 62841 × 62853) / 3
LCM(62841,62853) = 3949745373 / 3
LCM(62841,62853) = 1316581791

Least Common Multiple (LCM) of 62841 and 62853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62841 and 62853. First we will calculate the prime factors of 62841 and 62853.

Prime Factorization of 62841

Prime factors of 62841 are 3, 20947. Prime factorization of 62841 in exponential form is:

62841 = 31 × 209471

Prime Factorization of 62853

Prime factors of 62853 are 3, 7, 41, 73. Prime factorization of 62853 in exponential form is:

62853 = 31 × 71 × 411 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 62841 and 62853.

LCM(62841,62853) = 31 × 209471 × 71 × 411 × 731
LCM(62841,62853) = 1316581791