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What is the Least Common Multiple of 61877 and 61881?

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 61877 and 61881 is 3829010637.

LCM(61877,61881) = 3829010637

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Least Common Multiple of 61877 and 61881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61877 and 61881, than apply into the LCM equation.

GCF(61877,61881) = 1
LCM(61877,61881) = ( 61877 × 61881) / 1
LCM(61877,61881) = 3829010637 / 1
LCM(61877,61881) = 3829010637

Least Common Multiple (LCM) of 61877 and 61881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61877 and 61881. First we will calculate the prime factors of 61877 and 61881.

Prime Factorization of 61877

Prime factors of 61877 are 43, 1439. Prime factorization of 61877 in exponential form is:

61877 = 431 × 14391

Prime Factorization of 61881

Prime factors of 61881 are 3, 20627. Prime factorization of 61881 in exponential form is:

61881 = 31 × 206271

Now multiplying the highest exponent prime factors to calculate the LCM of 61877 and 61881.

LCM(61877,61881) = 431 × 14391 × 31 × 206271
LCM(61877,61881) = 3829010637