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What is the Least Common Multiple of 54068 and 54086?

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 54068 and 54086 is 1462160924.

LCM(54068,54086) = 1462160924

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Least Common Multiple of 54068 and 54086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54068 and 54086, than apply into the LCM equation.

GCF(54068,54086) = 2
LCM(54068,54086) = ( 54068 × 54086) / 2
LCM(54068,54086) = 2924321848 / 2
LCM(54068,54086) = 1462160924

Least Common Multiple (LCM) of 54068 and 54086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54068 and 54086. First we will calculate the prime factors of 54068 and 54086.

Prime Factorization of 54068

Prime factors of 54068 are 2, 7, 1931. Prime factorization of 54068 in exponential form is:

54068 = 22 × 71 × 19311

Prime Factorization of 54086

Prime factors of 54086 are 2, 27043. Prime factorization of 54086 in exponential form is:

54086 = 21 × 270431

Now multiplying the highest exponent prime factors to calculate the LCM of 54068 and 54086.

LCM(54068,54086) = 22 × 71 × 19311 × 270431
LCM(54068,54086) = 1462160924