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What is the Least Common Multiple of 64885 and 64889?

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 64885 and 64889 is 4210322765.

LCM(64885,64889) = 4210322765

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Least Common Multiple of 64885 and 64889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64885 and 64889, than apply into the LCM equation.

GCF(64885,64889) = 1
LCM(64885,64889) = ( 64885 × 64889) / 1
LCM(64885,64889) = 4210322765 / 1
LCM(64885,64889) = 4210322765

Least Common Multiple (LCM) of 64885 and 64889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64885 and 64889. First we will calculate the prime factors of 64885 and 64889.

Prime Factorization of 64885

Prime factors of 64885 are 5, 19, 683. Prime factorization of 64885 in exponential form is:

64885 = 51 × 191 × 6831

Prime Factorization of 64889

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

64889 = 111 × 171 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 64885 and 64889.

LCM(64885,64889) = 51 × 191 × 6831 × 111 × 171 × 3471
LCM(64885,64889) = 4210322765