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What is the Least Common Multiple of 62843 and 62863?

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 62843 and 62863 is 3950499509.

LCM(62843,62863) = 3950499509

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Least Common Multiple of 62843 and 62863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62843 and 62863, than apply into the LCM equation.

GCF(62843,62863) = 1
LCM(62843,62863) = ( 62843 × 62863) / 1
LCM(62843,62863) = 3950499509 / 1
LCM(62843,62863) = 3950499509

Least Common Multiple (LCM) of 62843 and 62863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62843 and 62863. First we will calculate the prime factors of 62843 and 62863.

Prime Factorization of 62843

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

62843 = 111 × 291 × 1971

Prime Factorization of 62863

Prime factors of 62863 are 37, 1699. Prime factorization of 62863 in exponential form is:

62863 = 371 × 16991

Now multiplying the highest exponent prime factors to calculate the LCM of 62843 and 62863.

LCM(62843,62863) = 111 × 291 × 1971 × 371 × 16991
LCM(62843,62863) = 3950499509