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What is the Least Common Multiple of 54802 and 54817?

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 54802 and 54817 is 3004081234.

LCM(54802,54817) = 3004081234

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Least Common Multiple of 54802 and 54817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54802 and 54817, than apply into the LCM equation.

GCF(54802,54817) = 1
LCM(54802,54817) = ( 54802 × 54817) / 1
LCM(54802,54817) = 3004081234 / 1
LCM(54802,54817) = 3004081234

Least Common Multiple (LCM) of 54802 and 54817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54802 and 54817. First we will calculate the prime factors of 54802 and 54817.

Prime Factorization of 54802

Prime factors of 54802 are 2, 11, 47, 53. Prime factorization of 54802 in exponential form is:

54802 = 21 × 111 × 471 × 531

Prime Factorization of 54817

Prime factors of 54817 are 7, 41, 191. Prime factorization of 54817 in exponential form is:

54817 = 71 × 411 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 54802 and 54817.

LCM(54802,54817) = 21 × 111 × 471 × 531 × 71 × 411 × 1911
LCM(54802,54817) = 3004081234