What is the Least Common Multiple of 11927 and 11940?
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 11927 and 11940 is 142408380.
LCM(11927,11940) = 142408380
Least Common Multiple of 11927 and 11940 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11927 and 11940, than apply into the LCM equation.
GCF(11927,11940) = 1
LCM(11927,11940) = ( 11927 × 11940) / 1
LCM(11927,11940) = 142408380 / 1
LCM(11927,11940) = 142408380
Least Common Multiple (LCM) of 11927 and 11940 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11927 and 11940. First we will calculate the prime factors of 11927 and 11940.
Prime Factorization of 11927
Prime factors of 11927 are 11927. Prime factorization of 11927 in exponential form is:
11927 = 119271
Prime Factorization of 11940
Prime factors of 11940 are 2, 3, 5, 199. Prime factorization of 11940 in exponential form is:
11940 = 22 × 31 × 51 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 11927 and 11940.
LCM(11927,11940) = 119271 × 22 × 31 × 51 × 1991
LCM(11927,11940) = 142408380
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