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What is the Least Common Multiple of 65896 and 65904?

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 65896 and 65904 is 542851248.

LCM(65896,65904) = 542851248

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Least Common Multiple of 65896 and 65904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65896 and 65904, than apply into the LCM equation.

GCF(65896,65904) = 8
LCM(65896,65904) = ( 65896 × 65904) / 8
LCM(65896,65904) = 4342809984 / 8
LCM(65896,65904) = 542851248

Least Common Multiple (LCM) of 65896 and 65904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65896 and 65904. First we will calculate the prime factors of 65896 and 65904.

Prime Factorization of 65896

Prime factors of 65896 are 2, 8237. Prime factorization of 65896 in exponential form is:

65896 = 23 × 82371

Prime Factorization of 65904

Prime factors of 65904 are 2, 3, 1373. Prime factorization of 65904 in exponential form is:

65904 = 24 × 31 × 13731

Now multiplying the highest exponent prime factors to calculate the LCM of 65896 and 65904.

LCM(65896,65904) = 24 × 82371 × 31 × 13731
LCM(65896,65904) = 542851248