What is the Least Common Multiple of 11567 and 11587?
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 11567 and 11587 is 134026829.
LCM(11567,11587) = 134026829
Least Common Multiple of 11567 and 11587 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11567 and 11587, than apply into the LCM equation.
GCF(11567,11587) = 1
LCM(11567,11587) = ( 11567 × 11587) / 1
LCM(11567,11587) = 134026829 / 1
LCM(11567,11587) = 134026829
Least Common Multiple (LCM) of 11567 and 11587 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11567 and 11587. First we will calculate the prime factors of 11567 and 11587.
Prime Factorization of 11567
Prime factors of 11567 are 43, 269. Prime factorization of 11567 in exponential form is:
11567 = 431 × 2691
Prime Factorization of 11587
Prime factors of 11587 are 11587. Prime factorization of 11587 in exponential form is:
11587 = 115871
Now multiplying the highest exponent prime factors to calculate the LCM of 11567 and 11587.
LCM(11567,11587) = 431 × 2691 × 115871
LCM(11567,11587) = 134026829
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