What is the Least Common Multiple of 62806 and 62811?
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 62806 and 62811 is 3944907666.
LCM(62806,62811) = 3944907666
Least Common Multiple of 62806 and 62811 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62806 and 62811, than apply into the LCM equation.
GCF(62806,62811) = 1
LCM(62806,62811) = ( 62806 × 62811) / 1
LCM(62806,62811) = 3944907666 / 1
LCM(62806,62811) = 3944907666
Least Common Multiple (LCM) of 62806 and 62811 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62806 and 62811. First we will calculate the prime factors of 62806 and 62811.
Prime Factorization of 62806
Prime factors of 62806 are 2, 31, 1013. Prime factorization of 62806 in exponential form is:
62806 = 21 × 311 × 10131
Prime Factorization of 62811
Prime factors of 62811 are 3, 7, 997. Prime factorization of 62811 in exponential form is:
62811 = 32 × 71 × 9971
Now multiplying the highest exponent prime factors to calculate the LCM of 62806 and 62811.
LCM(62806,62811) = 21 × 311 × 10131 × 32 × 71 × 9971
LCM(62806,62811) = 3944907666
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