What is the Least Common Multiple of 6575 and 6581?
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 6575 and 6581 is 43270075.
LCM(6575,6581) = 43270075
Least Common Multiple of 6575 and 6581 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6575 and 6581, than apply into the LCM equation.
GCF(6575,6581) = 1
LCM(6575,6581) = ( 6575 × 6581) / 1
LCM(6575,6581) = 43270075 / 1
LCM(6575,6581) = 43270075
Least Common Multiple (LCM) of 6575 and 6581 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6575 and 6581. First we will calculate the prime factors of 6575 and 6581.
Prime Factorization of 6575
Prime factors of 6575 are 5, 263. Prime factorization of 6575 in exponential form is:
6575 = 52 × 2631
Prime Factorization of 6581
Prime factors of 6581 are 6581. Prime factorization of 6581 in exponential form is:
6581 = 65811
Now multiplying the highest exponent prime factors to calculate the LCM of 6575 and 6581.
LCM(6575,6581) = 52 × 2631 × 65811
LCM(6575,6581) = 43270075
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