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What is the Least Common Multiple of 54706 and 54717?

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 54706 and 54717 is 2993348202.

LCM(54706,54717) = 2993348202

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Least Common Multiple of 54706 and 54717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54706 and 54717, than apply into the LCM equation.

GCF(54706,54717) = 1
LCM(54706,54717) = ( 54706 × 54717) / 1
LCM(54706,54717) = 2993348202 / 1
LCM(54706,54717) = 2993348202

Least Common Multiple (LCM) of 54706 and 54717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54706 and 54717. First we will calculate the prime factors of 54706 and 54717.

Prime Factorization of 54706

Prime factors of 54706 are 2, 17, 1609. Prime factorization of 54706 in exponential form is:

54706 = 21 × 171 × 16091

Prime Factorization of 54717

Prime factors of 54717 are 3, 13, 23, 61. Prime factorization of 54717 in exponential form is:

54717 = 31 × 131 × 231 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 54706 and 54717.

LCM(54706,54717) = 21 × 171 × 16091 × 31 × 131 × 231 × 611
LCM(54706,54717) = 2993348202