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What is the Least Common Multiple of 56320 and 56328?

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 56320 and 56328 is 396549120.

LCM(56320,56328) = 396549120

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Least Common Multiple of 56320 and 56328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56320 and 56328, than apply into the LCM equation.

GCF(56320,56328) = 8
LCM(56320,56328) = ( 56320 × 56328) / 8
LCM(56320,56328) = 3172392960 / 8
LCM(56320,56328) = 396549120

Least Common Multiple (LCM) of 56320 and 56328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56320 and 56328. First we will calculate the prime factors of 56320 and 56328.

Prime Factorization of 56320

Prime factors of 56320 are 2, 5, 11. Prime factorization of 56320 in exponential form is:

56320 = 210 × 51 × 111

Prime Factorization of 56328

Prime factors of 56328 are 2, 3, 2347. Prime factorization of 56328 in exponential form is:

56328 = 23 × 31 × 23471

Now multiplying the highest exponent prime factors to calculate the LCM of 56320 and 56328.

LCM(56320,56328) = 210 × 51 × 111 × 31 × 23471
LCM(56320,56328) = 396549120