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What is the Least Common Multiple of 54801 and 54814?

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 54801 and 54814 is 3003862014.

LCM(54801,54814) = 3003862014

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Least Common Multiple of 54801 and 54814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54801 and 54814, than apply into the LCM equation.

GCF(54801,54814) = 1
LCM(54801,54814) = ( 54801 × 54814) / 1
LCM(54801,54814) = 3003862014 / 1
LCM(54801,54814) = 3003862014

Least Common Multiple (LCM) of 54801 and 54814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54801 and 54814. First we will calculate the prime factors of 54801 and 54814.

Prime Factorization of 54801

Prime factors of 54801 are 3, 6089. Prime factorization of 54801 in exponential form is:

54801 = 32 × 60891

Prime Factorization of 54814

Prime factors of 54814 are 2, 27407. Prime factorization of 54814 in exponential form is:

54814 = 21 × 274071

Now multiplying the highest exponent prime factors to calculate the LCM of 54801 and 54814.

LCM(54801,54814) = 32 × 60891 × 21 × 274071
LCM(54801,54814) = 3003862014