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What is the Least Common Multiple of 54481 and 54491?

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 54481 and 54491 is 2968724171.

LCM(54481,54491) = 2968724171

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Least Common Multiple of 54481 and 54491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54481 and 54491, than apply into the LCM equation.

GCF(54481,54491) = 1
LCM(54481,54491) = ( 54481 × 54491) / 1
LCM(54481,54491) = 2968724171 / 1
LCM(54481,54491) = 2968724171

Least Common Multiple (LCM) of 54481 and 54491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54481 and 54491. First we will calculate the prime factors of 54481 and 54491.

Prime Factorization of 54481

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

54481 = 71 × 431 × 1811

Prime Factorization of 54491

Prime factors of 54491 are 29, 1879. Prime factorization of 54491 in exponential form is:

54491 = 291 × 18791

Now multiplying the highest exponent prime factors to calculate the LCM of 54481 and 54491.

LCM(54481,54491) = 71 × 431 × 1811 × 291 × 18791
LCM(54481,54491) = 2968724171