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What is the Least Common Multiple of 54929 and 54946?

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 54929 and 54946 is 3018128834.

LCM(54929,54946) = 3018128834

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Least Common Multiple of 54929 and 54946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54929 and 54946, than apply into the LCM equation.

GCF(54929,54946) = 1
LCM(54929,54946) = ( 54929 × 54946) / 1
LCM(54929,54946) = 3018128834 / 1
LCM(54929,54946) = 3018128834

Least Common Multiple (LCM) of 54929 and 54946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54929 and 54946. First we will calculate the prime factors of 54929 and 54946.

Prime Factorization of 54929

Prime factors of 54929 are 7, 19, 59. Prime factorization of 54929 in exponential form is:

54929 = 72 × 191 × 591

Prime Factorization of 54946

Prime factors of 54946 are 2, 83, 331. Prime factorization of 54946 in exponential form is:

54946 = 21 × 831 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 54929 and 54946.

LCM(54929,54946) = 72 × 191 × 591 × 21 × 831 × 3311
LCM(54929,54946) = 3018128834