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What is the Least Common Multiple of 54341 and 54347?

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 54341 and 54347 is 2953270327.

LCM(54341,54347) = 2953270327

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Least Common Multiple of 54341 and 54347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54341 and 54347, than apply into the LCM equation.

GCF(54341,54347) = 1
LCM(54341,54347) = ( 54341 × 54347) / 1
LCM(54341,54347) = 2953270327 / 1
LCM(54341,54347) = 2953270327

Least Common Multiple (LCM) of 54341 and 54347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54341 and 54347. First we will calculate the prime factors of 54341 and 54347.

Prime Factorization of 54341

Prime factors of 54341 are 7, 1109. Prime factorization of 54341 in exponential form is:

54341 = 72 × 11091

Prime Factorization of 54347

Prime factors of 54347 are 54347. Prime factorization of 54347 in exponential form is:

54347 = 543471

Now multiplying the highest exponent prime factors to calculate the LCM of 54341 and 54347.

LCM(54341,54347) = 72 × 11091 × 543471
LCM(54341,54347) = 2953270327