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What is the Least Common Multiple of 64889 and 64904?

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 64889 and 64904 is 4211555656.

LCM(64889,64904) = 4211555656

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Least Common Multiple of 64889 and 64904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64889 and 64904, than apply into the LCM equation.

GCF(64889,64904) = 1
LCM(64889,64904) = ( 64889 × 64904) / 1
LCM(64889,64904) = 4211555656 / 1
LCM(64889,64904) = 4211555656

Least Common Multiple (LCM) of 64889 and 64904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64889 and 64904. First we will calculate the prime factors of 64889 and 64904.

Prime Factorization of 64889

Prime factors of 64889 are 11, 17, 347. Prime factorization of 64889 in exponential form is:

64889 = 111 × 171 × 3471

Prime Factorization of 64904

Prime factors of 64904 are 2, 7, 19, 61. Prime factorization of 64904 in exponential form is:

64904 = 23 × 71 × 191 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 64889 and 64904.

LCM(64889,64904) = 111 × 171 × 3471 × 23 × 71 × 191 × 611
LCM(64889,64904) = 4211555656