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What is the Least Common Multiple of 54365 and 54381?

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 54365 and 54381 is 2956423065.

LCM(54365,54381) = 2956423065

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Least Common Multiple of 54365 and 54381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54365 and 54381, than apply into the LCM equation.

GCF(54365,54381) = 1
LCM(54365,54381) = ( 54365 × 54381) / 1
LCM(54365,54381) = 2956423065 / 1
LCM(54365,54381) = 2956423065

Least Common Multiple (LCM) of 54365 and 54381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54365 and 54381. First we will calculate the prime factors of 54365 and 54381.

Prime Factorization of 54365

Prime factors of 54365 are 5, 83, 131. Prime factorization of 54365 in exponential form is:

54365 = 51 × 831 × 1311

Prime Factorization of 54381

Prime factors of 54381 are 3, 18127. Prime factorization of 54381 in exponential form is:

54381 = 31 × 181271

Now multiplying the highest exponent prime factors to calculate the LCM of 54365 and 54381.

LCM(54365,54381) = 51 × 831 × 1311 × 31 × 181271
LCM(54365,54381) = 2956423065