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What is the Least Common Multiple of 62886 and 62893?

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 62886 and 62893 is 3955089198.

LCM(62886,62893) = 3955089198

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Least Common Multiple of 62886 and 62893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62886 and 62893, than apply into the LCM equation.

GCF(62886,62893) = 1
LCM(62886,62893) = ( 62886 × 62893) / 1
LCM(62886,62893) = 3955089198 / 1
LCM(62886,62893) = 3955089198

Least Common Multiple (LCM) of 62886 and 62893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62886 and 62893. First we will calculate the prime factors of 62886 and 62893.

Prime Factorization of 62886

Prime factors of 62886 are 2, 3, 47, 223. Prime factorization of 62886 in exponential form is:

62886 = 21 × 31 × 471 × 2231

Prime Factorization of 62893

Prime factors of 62893 are 109, 577. Prime factorization of 62893 in exponential form is:

62893 = 1091 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 62886 and 62893.

LCM(62886,62893) = 21 × 31 × 471 × 2231 × 1091 × 5771
LCM(62886,62893) = 3955089198