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What is the Least Common Multiple of 54578 and 54592?

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 54578 and 54592 is 1489761088.

LCM(54578,54592) = 1489761088

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Least Common Multiple of 54578 and 54592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54578 and 54592, than apply into the LCM equation.

GCF(54578,54592) = 2
LCM(54578,54592) = ( 54578 × 54592) / 2
LCM(54578,54592) = 2979522176 / 2
LCM(54578,54592) = 1489761088

Least Common Multiple (LCM) of 54578 and 54592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54578 and 54592. First we will calculate the prime factors of 54578 and 54592.

Prime Factorization of 54578

Prime factors of 54578 are 2, 29, 941. Prime factorization of 54578 in exponential form is:

54578 = 21 × 291 × 9411

Prime Factorization of 54592

Prime factors of 54592 are 2, 853. Prime factorization of 54592 in exponential form is:

54592 = 26 × 8531

Now multiplying the highest exponent prime factors to calculate the LCM of 54578 and 54592.

LCM(54578,54592) = 26 × 291 × 9411 × 8531
LCM(54578,54592) = 1489761088