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What is the Least Common Multiple of 54666 and 54679?

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 54666 and 54679 is 2989082214.

LCM(54666,54679) = 2989082214

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Least Common Multiple of 54666 and 54679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54666 and 54679, than apply into the LCM equation.

GCF(54666,54679) = 1
LCM(54666,54679) = ( 54666 × 54679) / 1
LCM(54666,54679) = 2989082214 / 1
LCM(54666,54679) = 2989082214

Least Common Multiple (LCM) of 54666 and 54679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54666 and 54679. First we will calculate the prime factors of 54666 and 54679.

Prime Factorization of 54666

Prime factors of 54666 are 2, 3, 3037. Prime factorization of 54666 in exponential form is:

54666 = 21 × 32 × 30371

Prime Factorization of 54679

Prime factors of 54679 are 54679. Prime factorization of 54679 in exponential form is:

54679 = 546791

Now multiplying the highest exponent prime factors to calculate the LCM of 54666 and 54679.

LCM(54666,54679) = 21 × 32 × 30371 × 546791
LCM(54666,54679) = 2989082214