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What is the Least Common Multiple of 54093 and 54107?

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 54093 and 54107 is 2926809951.

LCM(54093,54107) = 2926809951

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Least Common Multiple of 54093 and 54107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54093 and 54107, than apply into the LCM equation.

GCF(54093,54107) = 1
LCM(54093,54107) = ( 54093 × 54107) / 1
LCM(54093,54107) = 2926809951 / 1
LCM(54093,54107) = 2926809951

Least Common Multiple (LCM) of 54093 and 54107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54093 and 54107. First we will calculate the prime factors of 54093 and 54107.

Prime Factorization of 54093

Prime factors of 54093 are 3, 13, 19, 73. Prime factorization of 54093 in exponential form is:

54093 = 31 × 131 × 191 × 731

Prime Factorization of 54107

Prime factors of 54107 are 61, 887. Prime factorization of 54107 in exponential form is:

54107 = 611 × 8871

Now multiplying the highest exponent prime factors to calculate the LCM of 54093 and 54107.

LCM(54093,54107) = 31 × 131 × 191 × 731 × 611 × 8871
LCM(54093,54107) = 2926809951