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What is the Least Common Multiple of 54364 and 54375?

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 54364 and 54375 is 2956042500.

LCM(54364,54375) = 2956042500

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Least Common Multiple of 54364 and 54375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54364 and 54375, than apply into the LCM equation.

GCF(54364,54375) = 1
LCM(54364,54375) = ( 54364 × 54375) / 1
LCM(54364,54375) = 2956042500 / 1
LCM(54364,54375) = 2956042500

Least Common Multiple (LCM) of 54364 and 54375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54364 and 54375. First we will calculate the prime factors of 54364 and 54375.

Prime Factorization of 54364

Prime factors of 54364 are 2, 13591. Prime factorization of 54364 in exponential form is:

54364 = 22 × 135911

Prime Factorization of 54375

Prime factors of 54375 are 3, 5, 29. Prime factorization of 54375 in exponential form is:

54375 = 31 × 54 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 54364 and 54375.

LCM(54364,54375) = 22 × 135911 × 31 × 54 × 291
LCM(54364,54375) = 2956042500