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What is the Least Common Multiple of 62823 and 62843?

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 62823 and 62843 is 3947985789.

LCM(62823,62843) = 3947985789

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Least Common Multiple of 62823 and 62843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62823 and 62843, than apply into the LCM equation.

GCF(62823,62843) = 1
LCM(62823,62843) = ( 62823 × 62843) / 1
LCM(62823,62843) = 3947985789 / 1
LCM(62823,62843) = 3947985789

Least Common Multiple (LCM) of 62823 and 62843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62823 and 62843. First we will calculate the prime factors of 62823 and 62843.

Prime Factorization of 62823

Prime factors of 62823 are 3, 43, 487. Prime factorization of 62823 in exponential form is:

62823 = 31 × 431 × 4871

Prime Factorization of 62843

Prime factors of 62843 are 11, 29, 197. Prime factorization of 62843 in exponential form is:

62843 = 111 × 291 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 62823 and 62843.

LCM(62823,62843) = 31 × 431 × 4871 × 111 × 291 × 1971
LCM(62823,62843) = 3947985789