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What is the Least Common Multiple of 54289 and 54300?

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 54289 and 54300 is 2947892700.

LCM(54289,54300) = 2947892700

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Least Common Multiple of 54289 and 54300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54289 and 54300, than apply into the LCM equation.

GCF(54289,54300) = 1
LCM(54289,54300) = ( 54289 × 54300) / 1
LCM(54289,54300) = 2947892700 / 1
LCM(54289,54300) = 2947892700

Least Common Multiple (LCM) of 54289 and 54300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54289 and 54300. First we will calculate the prime factors of 54289 and 54300.

Prime Factorization of 54289

Prime factors of 54289 are 233. Prime factorization of 54289 in exponential form is:

54289 = 2332

Prime Factorization of 54300

Prime factors of 54300 are 2, 3, 5, 181. Prime factorization of 54300 in exponential form is:

54300 = 22 × 31 × 52 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 54289 and 54300.

LCM(54289,54300) = 2332 × 22 × 31 × 52 × 1811
LCM(54289,54300) = 2947892700