What is the Least Common Multiple of 11563 and 11567?
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 11563 and 11567 is 133749221.
LCM(11563,11567) = 133749221
Least Common Multiple of 11563 and 11567 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11563 and 11567, than apply into the LCM equation.
GCF(11563,11567) = 1
LCM(11563,11567) = ( 11563 × 11567) / 1
LCM(11563,11567) = 133749221 / 1
LCM(11563,11567) = 133749221
Least Common Multiple (LCM) of 11563 and 11567 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11563 and 11567. First we will calculate the prime factors of 11563 and 11567.
Prime Factorization of 11563
Prime factors of 11563 are 31, 373. Prime factorization of 11563 in exponential form is:
11563 = 311 × 3731
Prime Factorization of 11567
Prime factors of 11567 are 43, 269. Prime factorization of 11567 in exponential form is:
11567 = 431 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 11563 and 11567.
LCM(11563,11567) = 311 × 3731 × 431 × 2691
LCM(11563,11567) = 133749221
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