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What is the Least Common Multiple of 61899 and 61903?

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 61899 and 61903 is 3831733797.

LCM(61899,61903) = 3831733797

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Least Common Multiple of 61899 and 61903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61899 and 61903, than apply into the LCM equation.

GCF(61899,61903) = 1
LCM(61899,61903) = ( 61899 × 61903) / 1
LCM(61899,61903) = 3831733797 / 1
LCM(61899,61903) = 3831733797

Least Common Multiple (LCM) of 61899 and 61903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61899 and 61903. First we will calculate the prime factors of 61899 and 61903.

Prime Factorization of 61899

Prime factors of 61899 are 3, 47, 439. Prime factorization of 61899 in exponential form is:

61899 = 31 × 471 × 4391

Prime Factorization of 61903

Prime factors of 61903 are 103, 601. Prime factorization of 61903 in exponential form is:

61903 = 1031 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 61899 and 61903.

LCM(61899,61903) = 31 × 471 × 4391 × 1031 × 6011
LCM(61899,61903) = 3831733797