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What is the Least Common Multiple of 66884 and 66889?

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 66884 and 66889 is 4473803876.

LCM(66884,66889) = 4473803876

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Least Common Multiple of 66884 and 66889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66884 and 66889, than apply into the LCM equation.

GCF(66884,66889) = 1
LCM(66884,66889) = ( 66884 × 66889) / 1
LCM(66884,66889) = 4473803876 / 1
LCM(66884,66889) = 4473803876

Least Common Multiple (LCM) of 66884 and 66889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66884 and 66889. First we will calculate the prime factors of 66884 and 66889.

Prime Factorization of 66884

Prime factors of 66884 are 2, 23, 727. Prime factorization of 66884 in exponential form is:

66884 = 22 × 231 × 7271

Prime Factorization of 66889

Prime factors of 66889 are 66889. Prime factorization of 66889 in exponential form is:

66889 = 668891

Now multiplying the highest exponent prime factors to calculate the LCM of 66884 and 66889.

LCM(66884,66889) = 22 × 231 × 7271 × 668891
LCM(66884,66889) = 4473803876