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What is the Least Common Multiple of 54312 and 54322?

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 54312 and 54322 is 1475168232.

LCM(54312,54322) = 1475168232

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Least Common Multiple of 54312 and 54322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54312 and 54322, than apply into the LCM equation.

GCF(54312,54322) = 2
LCM(54312,54322) = ( 54312 × 54322) / 2
LCM(54312,54322) = 2950336464 / 2
LCM(54312,54322) = 1475168232

Least Common Multiple (LCM) of 54312 and 54322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54312 and 54322. First we will calculate the prime factors of 54312 and 54322.

Prime Factorization of 54312

Prime factors of 54312 are 2, 3, 31, 73. Prime factorization of 54312 in exponential form is:

54312 = 23 × 31 × 311 × 731

Prime Factorization of 54322

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

54322 = 21 × 1571 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 54312 and 54322.

LCM(54312,54322) = 23 × 31 × 311 × 731 × 1571 × 1731
LCM(54312,54322) = 1475168232