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What is the Least Common Multiple of 54528 and 54543?

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 54528 and 54543 is 991373568.

LCM(54528,54543) = 991373568

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Least Common Multiple of 54528 and 54543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54528 and 54543, than apply into the LCM equation.

GCF(54528,54543) = 3
LCM(54528,54543) = ( 54528 × 54543) / 3
LCM(54528,54543) = 2974120704 / 3
LCM(54528,54543) = 991373568

Least Common Multiple (LCM) of 54528 and 54543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54528 and 54543. First we will calculate the prime factors of 54528 and 54543.

Prime Factorization of 54528

Prime factors of 54528 are 2, 3, 71. Prime factorization of 54528 in exponential form is:

54528 = 28 × 31 × 711

Prime Factorization of 54543

Prime factors of 54543 are 3, 18181. Prime factorization of 54543 in exponential form is:

54543 = 31 × 181811

Now multiplying the highest exponent prime factors to calculate the LCM of 54528 and 54543.

LCM(54528,54543) = 28 × 31 × 711 × 181811
LCM(54528,54543) = 991373568