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What is the Least Common Multiple of 53861 and 53873?

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 53861 and 53873 is 2901653653.

LCM(53861,53873) = 2901653653

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Least Common Multiple of 53861 and 53873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53861 and 53873, than apply into the LCM equation.

GCF(53861,53873) = 1
LCM(53861,53873) = ( 53861 × 53873) / 1
LCM(53861,53873) = 2901653653 / 1
LCM(53861,53873) = 2901653653

Least Common Multiple (LCM) of 53861 and 53873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53861 and 53873. First we will calculate the prime factors of 53861 and 53873.

Prime Factorization of 53861

Prime factors of 53861 are 53861. Prime factorization of 53861 in exponential form is:

53861 = 538611

Prime Factorization of 53873

Prime factors of 53873 are 17, 3169. Prime factorization of 53873 in exponential form is:

53873 = 171 × 31691

Now multiplying the highest exponent prime factors to calculate the LCM of 53861 and 53873.

LCM(53861,53873) = 538611 × 171 × 31691
LCM(53861,53873) = 2901653653