What is the Least Common Multiple of 11810 and 11815?
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 11810 and 11815 is 27907030.
LCM(11810,11815) = 27907030
Least Common Multiple of 11810 and 11815 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11810 and 11815, than apply into the LCM equation.
GCF(11810,11815) = 5
LCM(11810,11815) = ( 11810 × 11815) / 5
LCM(11810,11815) = 139535150 / 5
LCM(11810,11815) = 27907030
Least Common Multiple (LCM) of 11810 and 11815 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11810 and 11815. First we will calculate the prime factors of 11810 and 11815.
Prime Factorization of 11810
Prime factors of 11810 are 2, 5, 1181. Prime factorization of 11810 in exponential form is:
11810 = 21 × 51 × 11811
Prime Factorization of 11815
Prime factors of 11815 are 5, 17, 139. Prime factorization of 11815 in exponential form is:
11815 = 51 × 171 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 11810 and 11815.
LCM(11810,11815) = 21 × 51 × 11811 × 171 × 1391
LCM(11810,11815) = 27907030
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