What is the Least Common Multiple of 8565 and 8577?
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 8565 and 8577 is 24487335.
LCM(8565,8577) = 24487335
Least Common Multiple of 8565 and 8577 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8565 and 8577, than apply into the LCM equation.
GCF(8565,8577) = 3
LCM(8565,8577) = ( 8565 × 8577) / 3
LCM(8565,8577) = 73462005 / 3
LCM(8565,8577) = 24487335
Least Common Multiple (LCM) of 8565 and 8577 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8565 and 8577. First we will calculate the prime factors of 8565 and 8577.
Prime Factorization of 8565
Prime factors of 8565 are 3, 5, 571. Prime factorization of 8565 in exponential form is:
8565 = 31 × 51 × 5711
Prime Factorization of 8577
Prime factors of 8577 are 3, 953. Prime factorization of 8577 in exponential form is:
8577 = 32 × 9531
Now multiplying the highest exponent prime factors to calculate the LCM of 8565 and 8577.
LCM(8565,8577) = 32 × 51 × 5711 × 9531
LCM(8565,8577) = 24487335
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