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What is the Least Common Multiple of 54783 and 54795?

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 54783 and 54795 is 1000611495.

LCM(54783,54795) = 1000611495

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Least Common Multiple of 54783 and 54795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54783 and 54795, than apply into the LCM equation.

GCF(54783,54795) = 3
LCM(54783,54795) = ( 54783 × 54795) / 3
LCM(54783,54795) = 3001834485 / 3
LCM(54783,54795) = 1000611495

Least Common Multiple (LCM) of 54783 and 54795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54783 and 54795. First we will calculate the prime factors of 54783 and 54795.

Prime Factorization of 54783

Prime factors of 54783 are 3, 2029. Prime factorization of 54783 in exponential form is:

54783 = 33 × 20291

Prime Factorization of 54795

Prime factors of 54795 are 3, 5, 13, 281. Prime factorization of 54795 in exponential form is:

54795 = 31 × 51 × 131 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 54783 and 54795.

LCM(54783,54795) = 33 × 20291 × 51 × 131 × 2811
LCM(54783,54795) = 1000611495