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What is the Least Common Multiple of 54312 and 54317?

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 54317 is 2950064904.

LCM(54312,54317) = 2950064904

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Least Common Multiple of 54312 and 54317 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 54317, than apply into the LCM equation.

GCF(54312,54317) = 1
LCM(54312,54317) = ( 54312 × 54317) / 1
LCM(54312,54317) = 2950064904 / 1
LCM(54312,54317) = 2950064904

Least Common Multiple (LCM) of 54312 and 54317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54312 and 54317. First we will calculate the prime factors of 54312 and 54317.

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 54317

Prime factors of 54317 are 29, 1873. Prime factorization of 54317 in exponential form is:

54317 = 291 × 18731

Now multiplying the highest exponent prime factors to calculate the LCM of 54312 and 54317.

LCM(54312,54317) = 23 × 31 × 311 × 731 × 291 × 18731
LCM(54312,54317) = 2950064904