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What is the Least Common Multiple of 62883 and 62895?

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 62883 and 62895 is 1318342095.

LCM(62883,62895) = 1318342095

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Least Common Multiple of 62883 and 62895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62883 and 62895, than apply into the LCM equation.

GCF(62883,62895) = 3
LCM(62883,62895) = ( 62883 × 62895) / 3
LCM(62883,62895) = 3955026285 / 3
LCM(62883,62895) = 1318342095

Least Common Multiple (LCM) of 62883 and 62895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62883 and 62895. First we will calculate the prime factors of 62883 and 62895.

Prime Factorization of 62883

Prime factors of 62883 are 3, 17, 137. Prime factorization of 62883 in exponential form is:

62883 = 33 × 171 × 1371

Prime Factorization of 62895

Prime factors of 62895 are 3, 5, 7, 599. Prime factorization of 62895 in exponential form is:

62895 = 31 × 51 × 71 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 62883 and 62895.

LCM(62883,62895) = 33 × 171 × 1371 × 51 × 71 × 5991
LCM(62883,62895) = 1318342095