What is the Least Common Multiple of 10849 and 10855?
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 10849 and 10855 is 117765895.
LCM(10849,10855) = 117765895
Least Common Multiple of 10849 and 10855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10849 and 10855, than apply into the LCM equation.
GCF(10849,10855) = 1
LCM(10849,10855) = ( 10849 × 10855) / 1
LCM(10849,10855) = 117765895 / 1
LCM(10849,10855) = 117765895
Least Common Multiple (LCM) of 10849 and 10855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10849 and 10855. First we will calculate the prime factors of 10849 and 10855.
Prime Factorization of 10849
Prime factors of 10849 are 19, 571. Prime factorization of 10849 in exponential form is:
10849 = 191 × 5711
Prime Factorization of 10855
Prime factors of 10855 are 5, 13, 167. Prime factorization of 10855 in exponential form is:
10855 = 51 × 131 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 10849 and 10855.
LCM(10849,10855) = 191 × 5711 × 51 × 131 × 1671
LCM(10849,10855) = 117765895
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