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What is the Least Common Multiple of 62881 and 62892?

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 62881 and 62892 is 3954711852.

LCM(62881,62892) = 3954711852

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Least Common Multiple of 62881 and 62892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62881 and 62892, than apply into the LCM equation.

GCF(62881,62892) = 1
LCM(62881,62892) = ( 62881 × 62892) / 1
LCM(62881,62892) = 3954711852 / 1
LCM(62881,62892) = 3954711852

Least Common Multiple (LCM) of 62881 and 62892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62881 and 62892. First we will calculate the prime factors of 62881 and 62892.

Prime Factorization of 62881

Prime factors of 62881 are 7, 13, 691. Prime factorization of 62881 in exponential form is:

62881 = 71 × 131 × 6911

Prime Factorization of 62892

Prime factors of 62892 are 2, 3, 1747. Prime factorization of 62892 in exponential form is:

62892 = 22 × 32 × 17471

Now multiplying the highest exponent prime factors to calculate the LCM of 62881 and 62892.

LCM(62881,62892) = 71 × 131 × 6911 × 22 × 32 × 17471
LCM(62881,62892) = 3954711852