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What is the Least Common Multiple of 54128 and 54139?

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 54128 and 54139 is 2930435792.

LCM(54128,54139) = 2930435792

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Least Common Multiple of 54128 and 54139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54128 and 54139, than apply into the LCM equation.

GCF(54128,54139) = 1
LCM(54128,54139) = ( 54128 × 54139) / 1
LCM(54128,54139) = 2930435792 / 1
LCM(54128,54139) = 2930435792

Least Common Multiple (LCM) of 54128 and 54139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54128 and 54139. First we will calculate the prime factors of 54128 and 54139.

Prime Factorization of 54128

Prime factors of 54128 are 2, 17, 199. Prime factorization of 54128 in exponential form is:

54128 = 24 × 171 × 1991

Prime Factorization of 54139

Prime factors of 54139 are 54139. Prime factorization of 54139 in exponential form is:

54139 = 541391

Now multiplying the highest exponent prime factors to calculate the LCM of 54128 and 54139.

LCM(54128,54139) = 24 × 171 × 1991 × 541391
LCM(54128,54139) = 2930435792