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What is the Least Common Multiple of 54673 and 54681?

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 54673 and 54681 is 2989574313.

LCM(54673,54681) = 2989574313

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Least Common Multiple of 54673 and 54681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54673 and 54681, than apply into the LCM equation.

GCF(54673,54681) = 1
LCM(54673,54681) = ( 54673 × 54681) / 1
LCM(54673,54681) = 2989574313 / 1
LCM(54673,54681) = 2989574313

Least Common Multiple (LCM) of 54673 and 54681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54673 and 54681. First we will calculate the prime factors of 54673 and 54681.

Prime Factorization of 54673

Prime factors of 54673 are 54673. Prime factorization of 54673 in exponential form is:

54673 = 546731

Prime Factorization of 54681

Prime factors of 54681 are 3, 11, 1657. Prime factorization of 54681 in exponential form is:

54681 = 31 × 111 × 16571

Now multiplying the highest exponent prime factors to calculate the LCM of 54673 and 54681.

LCM(54673,54681) = 546731 × 31 × 111 × 16571
LCM(54673,54681) = 2989574313