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What is the Least Common Multiple of 54763 and 54783?

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 54763 and 54783 is 3000081429.

LCM(54763,54783) = 3000081429

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Least Common Multiple of 54763 and 54783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54763 and 54783, than apply into the LCM equation.

GCF(54763,54783) = 1
LCM(54763,54783) = ( 54763 × 54783) / 1
LCM(54763,54783) = 3000081429 / 1
LCM(54763,54783) = 3000081429

Least Common Multiple (LCM) of 54763 and 54783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54763 and 54783. First we will calculate the prime factors of 54763 and 54783.

Prime Factorization of 54763

Prime factors of 54763 are 23, 2381. Prime factorization of 54763 in exponential form is:

54763 = 231 × 23811

Prime Factorization of 54783

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

54783 = 33 × 20291

Now multiplying the highest exponent prime factors to calculate the LCM of 54763 and 54783.

LCM(54763,54783) = 231 × 23811 × 33 × 20291
LCM(54763,54783) = 3000081429