What is the Least Common Multiple of 11067 and 11077?
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 11067 and 11077 is 122589159.
LCM(11067,11077) = 122589159
Least Common Multiple of 11067 and 11077 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11067 and 11077, than apply into the LCM equation.
GCF(11067,11077) = 1
LCM(11067,11077) = ( 11067 × 11077) / 1
LCM(11067,11077) = 122589159 / 1
LCM(11067,11077) = 122589159
Least Common Multiple (LCM) of 11067 and 11077 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11067 and 11077. First we will calculate the prime factors of 11067 and 11077.
Prime Factorization of 11067
Prime factors of 11067 are 3, 7, 17, 31. Prime factorization of 11067 in exponential form is:
11067 = 31 × 71 × 171 × 311
Prime Factorization of 11077
Prime factors of 11077 are 11, 19, 53. Prime factorization of 11077 in exponential form is:
11077 = 111 × 191 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 11067 and 11077.
LCM(11067,11077) = 31 × 71 × 171 × 311 × 111 × 191 × 531
LCM(11067,11077) = 122589159
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