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What is the Least Common Multiple of 54899 and 54913?

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 54899 and 54913 is 3014668787.

LCM(54899,54913) = 3014668787

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Least Common Multiple of 54899 and 54913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54899 and 54913, than apply into the LCM equation.

GCF(54899,54913) = 1
LCM(54899,54913) = ( 54899 × 54913) / 1
LCM(54899,54913) = 3014668787 / 1
LCM(54899,54913) = 3014668787

Least Common Multiple (LCM) of 54899 and 54913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54899 and 54913. First we will calculate the prime factors of 54899 and 54913.

Prime Factorization of 54899

Prime factors of 54899 are 13, 41, 103. Prime factorization of 54899 in exponential form is:

54899 = 131 × 411 × 1031

Prime Factorization of 54913

Prime factors of 54913 are 89, 617. Prime factorization of 54913 in exponential form is:

54913 = 891 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 54899 and 54913.

LCM(54899,54913) = 131 × 411 × 1031 × 891 × 6171
LCM(54899,54913) = 3014668787