What is the Least Common Multiple of 10863 and 10876?
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 10863 and 10876 is 118145988.
LCM(10863,10876) = 118145988
Least Common Multiple of 10863 and 10876 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10863 and 10876, than apply into the LCM equation.
GCF(10863,10876) = 1
LCM(10863,10876) = ( 10863 × 10876) / 1
LCM(10863,10876) = 118145988 / 1
LCM(10863,10876) = 118145988
Least Common Multiple (LCM) of 10863 and 10876 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10863 and 10876. First we will calculate the prime factors of 10863 and 10876.
Prime Factorization of 10863
Prime factors of 10863 are 3, 17, 71. Prime factorization of 10863 in exponential form is:
10863 = 32 × 171 × 711
Prime Factorization of 10876
Prime factors of 10876 are 2, 2719. Prime factorization of 10876 in exponential form is:
10876 = 22 × 27191
Now multiplying the highest exponent prime factors to calculate the LCM of 10863 and 10876.
LCM(10863,10876) = 32 × 171 × 711 × 22 × 27191
LCM(10863,10876) = 118145988
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