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What is the Least Common Multiple of 54009 and 54026?

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 54009 and 54026 is 171640602.

LCM(54009,54026) = 171640602

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Least Common Multiple of 54009 and 54026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54009 and 54026, than apply into the LCM equation.

GCF(54009,54026) = 17
LCM(54009,54026) = ( 54009 × 54026) / 17
LCM(54009,54026) = 2917890234 / 17
LCM(54009,54026) = 171640602

Least Common Multiple (LCM) of 54009 and 54026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54009 and 54026. First we will calculate the prime factors of 54009 and 54026.

Prime Factorization of 54009

Prime factors of 54009 are 3, 17, 353. Prime factorization of 54009 in exponential form is:

54009 = 32 × 171 × 3531

Prime Factorization of 54026

Prime factors of 54026 are 2, 7, 17, 227. Prime factorization of 54026 in exponential form is:

54026 = 21 × 71 × 171 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 54009 and 54026.

LCM(54009,54026) = 32 × 171 × 3531 × 21 × 71 × 2271
LCM(54009,54026) = 171640602