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What is the Least Common Multiple of 54360 and 54379?

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 54360 and 54379 is 2956042440.

LCM(54360,54379) = 2956042440

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Least Common Multiple of 54360 and 54379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54360 and 54379, than apply into the LCM equation.

GCF(54360,54379) = 1
LCM(54360,54379) = ( 54360 × 54379) / 1
LCM(54360,54379) = 2956042440 / 1
LCM(54360,54379) = 2956042440

Least Common Multiple (LCM) of 54360 and 54379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54360 and 54379. First we will calculate the prime factors of 54360 and 54379.

Prime Factorization of 54360

Prime factors of 54360 are 2, 3, 5, 151. Prime factorization of 54360 in exponential form is:

54360 = 23 × 32 × 51 × 1511

Prime Factorization of 54379

Prime factors of 54379 are 13, 47, 89. Prime factorization of 54379 in exponential form is:

54379 = 131 × 471 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 54360 and 54379.

LCM(54360,54379) = 23 × 32 × 51 × 1511 × 131 × 471 × 891
LCM(54360,54379) = 2956042440