What is the Least Common Multiple of 11861 and 11869?
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 11861 and 11869 is 140778209.
LCM(11861,11869) = 140778209
Least Common Multiple of 11861 and 11869 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11861 and 11869, than apply into the LCM equation.
GCF(11861,11869) = 1
LCM(11861,11869) = ( 11861 × 11869) / 1
LCM(11861,11869) = 140778209 / 1
LCM(11861,11869) = 140778209
Least Common Multiple (LCM) of 11861 and 11869 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11861 and 11869. First we will calculate the prime factors of 11861 and 11869.
Prime Factorization of 11861
Prime factors of 11861 are 29, 409. Prime factorization of 11861 in exponential form is:
11861 = 291 × 4091
Prime Factorization of 11869
Prime factors of 11869 are 11, 13, 83. Prime factorization of 11869 in exponential form is:
11869 = 111 × 131 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 11861 and 11869.
LCM(11861,11869) = 291 × 4091 × 111 × 131 × 831
LCM(11861,11869) = 140778209
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