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What is the Least Common Multiple of 62883 and 62896?

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 62896 is 3955089168.

LCM(62883,62896) = 3955089168

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Least Common Multiple of 62883 and 62896 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 62896, than apply into the LCM equation.

GCF(62883,62896) = 1
LCM(62883,62896) = ( 62883 × 62896) / 1
LCM(62883,62896) = 3955089168 / 1
LCM(62883,62896) = 3955089168

Least Common Multiple (LCM) of 62883 and 62896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62883 and 62896. First we will calculate the prime factors of 62883 and 62896.

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 62896

Prime factors of 62896 are 2, 3931. Prime factorization of 62896 in exponential form is:

62896 = 24 × 39311

Now multiplying the highest exponent prime factors to calculate the LCM of 62883 and 62896.

LCM(62883,62896) = 33 × 171 × 1371 × 24 × 39311
LCM(62883,62896) = 3955089168