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What is the Least Common Multiple of 54891 and 54903?

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 54891 and 54903 is 1004560191.

LCM(54891,54903) = 1004560191

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Least Common Multiple of 54891 and 54903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54891 and 54903, than apply into the LCM equation.

GCF(54891,54903) = 3
LCM(54891,54903) = ( 54891 × 54903) / 3
LCM(54891,54903) = 3013680573 / 3
LCM(54891,54903) = 1004560191

Least Common Multiple (LCM) of 54891 and 54903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54891 and 54903. First we will calculate the prime factors of 54891 and 54903.

Prime Factorization of 54891

Prime factors of 54891 are 3, 19, 107. Prime factorization of 54891 in exponential form is:

54891 = 33 × 191 × 1071

Prime Factorization of 54903

Prime factors of 54903 are 3, 18301. Prime factorization of 54903 in exponential form is:

54903 = 31 × 183011

Now multiplying the highest exponent prime factors to calculate the LCM of 54891 and 54903.

LCM(54891,54903) = 33 × 191 × 1071 × 183011
LCM(54891,54903) = 1004560191