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What is the Least Common Multiple of 62782 and 62786?

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 62782 and 62786 is 1970915326.

LCM(62782,62786) = 1970915326

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Least Common Multiple of 62782 and 62786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62782 and 62786, than apply into the LCM equation.

GCF(62782,62786) = 2
LCM(62782,62786) = ( 62782 × 62786) / 2
LCM(62782,62786) = 3941830652 / 2
LCM(62782,62786) = 1970915326

Least Common Multiple (LCM) of 62782 and 62786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62782 and 62786. First we will calculate the prime factors of 62782 and 62786.

Prime Factorization of 62782

Prime factors of 62782 are 2, 31391. Prime factorization of 62782 in exponential form is:

62782 = 21 × 313911

Prime Factorization of 62786

Prime factors of 62786 are 2, 31393. Prime factorization of 62786 in exponential form is:

62786 = 21 × 313931

Now multiplying the highest exponent prime factors to calculate the LCM of 62782 and 62786.

LCM(62782,62786) = 21 × 313911 × 313931
LCM(62782,62786) = 1970915326