What is the Least Common Multiple of 62786 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 62786 and 62806 is 1971668758.
LCM(62786,62806) = 1971668758
Least Common Multiple of 62786 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 62786 and 62806, than apply into the LCM equation.
GCF(62786,62806) = 2
LCM(62786,62806) = ( 62786 × 62806) / 2
LCM(62786,62806) = 3943337516 / 2
LCM(62786,62806) = 1971668758
Least Common Multiple (LCM) of 62786 and 62806 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62786 and 62806. First we will calculate the prime factors of 62786 and 62806.
Prime Factorization of 62786
Prime factors of 62786 are 2, 31393. Prime factorization of 62786 in exponential form is:
62786 = 21 × 313931
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 62786 and 62806.
LCM(62786,62806) = 21 × 313931 × 311 × 10131
LCM(62786,62806) = 1971668758
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