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What is the Least Common Multiple of 54322 and 54339?

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 54322 and 54339 is 2951803158.

LCM(54322,54339) = 2951803158

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Least Common Multiple of 54322 and 54339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54322 and 54339, than apply into the LCM equation.

GCF(54322,54339) = 1
LCM(54322,54339) = ( 54322 × 54339) / 1
LCM(54322,54339) = 2951803158 / 1
LCM(54322,54339) = 2951803158

Least Common Multiple (LCM) of 54322 and 54339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54322 and 54339. First we will calculate the prime factors of 54322 and 54339.

Prime Factorization of 54322

Prime factors of 54322 are 2, 157, 173. Prime factorization of 54322 in exponential form is:

54322 = 21 × 1571 × 1731

Prime Factorization of 54339

Prime factors of 54339 are 3, 59, 307. Prime factorization of 54339 in exponential form is:

54339 = 31 × 591 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 54322 and 54339.

LCM(54322,54339) = 21 × 1571 × 1731 × 31 × 591 × 3071
LCM(54322,54339) = 2951803158