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What is the Least Common Multiple of 54874 and 54893?

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 54874 and 54893 is 3012198482.

LCM(54874,54893) = 3012198482

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Least Common Multiple of 54874 and 54893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54874 and 54893, than apply into the LCM equation.

GCF(54874,54893) = 1
LCM(54874,54893) = ( 54874 × 54893) / 1
LCM(54874,54893) = 3012198482 / 1
LCM(54874,54893) = 3012198482

Least Common Multiple (LCM) of 54874 and 54893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54874 and 54893. First we will calculate the prime factors of 54874 and 54893.

Prime Factorization of 54874

Prime factors of 54874 are 2, 27437. Prime factorization of 54874 in exponential form is:

54874 = 21 × 274371

Prime Factorization of 54893

Prime factors of 54893 are 17, 3229. Prime factorization of 54893 in exponential form is:

54893 = 171 × 32291

Now multiplying the highest exponent prime factors to calculate the LCM of 54874 and 54893.

LCM(54874,54893) = 21 × 274371 × 171 × 32291
LCM(54874,54893) = 3012198482