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What is the Least Common Multiple of 62841 and 62850?

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 62850 is 1316518950.

LCM(62841,62850) = 1316518950

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Least Common Multiple of 62841 and 62850 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 62850, than apply into the LCM equation.

GCF(62841,62850) = 3
LCM(62841,62850) = ( 62841 × 62850) / 3
LCM(62841,62850) = 3949556850 / 3
LCM(62841,62850) = 1316518950

Least Common Multiple (LCM) of 62841 and 62850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62841 and 62850. First we will calculate the prime factors of 62841 and 62850.

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 62850

Prime factors of 62850 are 2, 3, 5, 419. Prime factorization of 62850 in exponential form is:

62850 = 21 × 31 × 52 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 62841 and 62850.

LCM(62841,62850) = 31 × 209471 × 21 × 52 × 4191
LCM(62841,62850) = 1316518950