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What is the Least Common Multiple of 54462 and 54481?

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 54462 and 54481 is 2967144222.

LCM(54462,54481) = 2967144222

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Least Common Multiple of 54462 and 54481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54462 and 54481, than apply into the LCM equation.

GCF(54462,54481) = 1
LCM(54462,54481) = ( 54462 × 54481) / 1
LCM(54462,54481) = 2967144222 / 1
LCM(54462,54481) = 2967144222

Least Common Multiple (LCM) of 54462 and 54481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54462 and 54481. First we will calculate the prime factors of 54462 and 54481.

Prime Factorization of 54462

Prime factors of 54462 are 2, 3, 29, 313. Prime factorization of 54462 in exponential form is:

54462 = 21 × 31 × 291 × 3131

Prime Factorization of 54481

Prime factors of 54481 are 7, 43, 181. Prime factorization of 54481 in exponential form is:

54481 = 71 × 431 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 54462 and 54481.

LCM(54462,54481) = 21 × 31 × 291 × 3131 × 71 × 431 × 1811
LCM(54462,54481) = 2967144222