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What is the Least Common Multiple of 3896 and 3904?

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 3896 and 3904 is 1901248.

LCM(3896,3904) = 1901248

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Least Common Multiple of 3896 and 3904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3896 and 3904, than apply into the LCM equation.

GCF(3896,3904) = 8
LCM(3896,3904) = ( 3896 × 3904) / 8
LCM(3896,3904) = 15209984 / 8
LCM(3896,3904) = 1901248

Least Common Multiple (LCM) of 3896 and 3904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3896 and 3904. First we will calculate the prime factors of 3896 and 3904.

Prime Factorization of 3896

Prime factors of 3896 are 2, 487. Prime factorization of 3896 in exponential form is:

3896 = 23 × 4871

Prime Factorization of 3904

Prime factors of 3904 are 2, 61. Prime factorization of 3904 in exponential form is:

3904 = 26 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 3896 and 3904.

LCM(3896,3904) = 26 × 4871 × 611
LCM(3896,3904) = 1901248