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What is the Least Common Multiple of 54891 and 54897?

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 54897 is 1004450409.

LCM(54891,54897) = 1004450409

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Least Common Multiple of 54891 and 54897 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 54897, than apply into the LCM equation.

GCF(54891,54897) = 3
LCM(54891,54897) = ( 54891 × 54897) / 3
LCM(54891,54897) = 3013351227 / 3
LCM(54891,54897) = 1004450409

Least Common Multiple (LCM) of 54891 and 54897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54891 and 54897. First we will calculate the prime factors of 54891 and 54897.

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 54897

Prime factors of 54897 are 3, 29, 631. Prime factorization of 54897 in exponential form is:

54897 = 31 × 291 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 54891 and 54897.

LCM(54891,54897) = 33 × 191 × 1071 × 291 × 6311
LCM(54891,54897) = 1004450409