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What is the Least Common Multiple of 54296 and 54310?

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 54296 and 54310 is 1474407880.

LCM(54296,54310) = 1474407880

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Least Common Multiple of 54296 and 54310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54296 and 54310, than apply into the LCM equation.

GCF(54296,54310) = 2
LCM(54296,54310) = ( 54296 × 54310) / 2
LCM(54296,54310) = 2948815760 / 2
LCM(54296,54310) = 1474407880

Least Common Multiple (LCM) of 54296 and 54310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54296 and 54310. First we will calculate the prime factors of 54296 and 54310.

Prime Factorization of 54296

Prime factors of 54296 are 2, 11, 617. Prime factorization of 54296 in exponential form is:

54296 = 23 × 111 × 6171

Prime Factorization of 54310

Prime factors of 54310 are 2, 5, 5431. Prime factorization of 54310 in exponential form is:

54310 = 21 × 51 × 54311

Now multiplying the highest exponent prime factors to calculate the LCM of 54296 and 54310.

LCM(54296,54310) = 23 × 111 × 6171 × 51 × 54311
LCM(54296,54310) = 1474407880