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What is the Least Common Multiple of 62801 and 62806?

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 62801 and 62806 is 3944279606.

LCM(62801,62806) = 3944279606

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Least Common Multiple of 62801 and 62806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62801 and 62806, than apply into the LCM equation.

GCF(62801,62806) = 1
LCM(62801,62806) = ( 62801 × 62806) / 1
LCM(62801,62806) = 3944279606 / 1
LCM(62801,62806) = 3944279606

Least Common Multiple (LCM) of 62801 and 62806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62801 and 62806. First we will calculate the prime factors of 62801 and 62806.

Prime Factorization of 62801

Prime factors of 62801 are 62801. Prime factorization of 62801 in exponential form is:

62801 = 628011

Prime Factorization of 62806

Prime factors of 62806 are 2, 31, 1013. Prime factorization of 62806 in exponential form is:

62806 = 21 × 311 × 10131

Now multiplying the highest exponent prime factors to calculate the LCM of 62801 and 62806.

LCM(62801,62806) = 628011 × 21 × 311 × 10131
LCM(62801,62806) = 3944279606