What is the Least Common Multiple of 66569 and 66581?
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 66569 and 66581 is 4432230589.
LCM(66569,66581) = 4432230589
Least Common Multiple of 66569 and 66581 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66569 and 66581, than apply into the LCM equation.
GCF(66569,66581) = 1
LCM(66569,66581) = ( 66569 × 66581) / 1
LCM(66569,66581) = 4432230589 / 1
LCM(66569,66581) = 4432230589
Least Common Multiple (LCM) of 66569 and 66581 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66569 and 66581. First we will calculate the prime factors of 66569 and 66581.
Prime Factorization of 66569
Prime factors of 66569 are 66569. Prime factorization of 66569 in exponential form is:
66569 = 665691
Prime Factorization of 66581
Prime factors of 66581 are 139, 479. Prime factorization of 66581 in exponential form is:
66581 = 1391 × 4791
Now multiplying the highest exponent prime factors to calculate the LCM of 66569 and 66581.
LCM(66569,66581) = 665691 × 1391 × 4791
LCM(66569,66581) = 4432230589
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