What is the Least Common Multiple of 10847 and 10862?
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 10847 and 10862 is 117820114.
LCM(10847,10862) = 117820114
Least Common Multiple of 10847 and 10862 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10847 and 10862, than apply into the LCM equation.
GCF(10847,10862) = 1
LCM(10847,10862) = ( 10847 × 10862) / 1
LCM(10847,10862) = 117820114 / 1
LCM(10847,10862) = 117820114
Least Common Multiple (LCM) of 10847 and 10862 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10847 and 10862. First we will calculate the prime factors of 10847 and 10862.
Prime Factorization of 10847
Prime factors of 10847 are 10847. Prime factorization of 10847 in exponential form is:
10847 = 108471
Prime Factorization of 10862
Prime factors of 10862 are 2, 5431. Prime factorization of 10862 in exponential form is:
10862 = 21 × 54311
Now multiplying the highest exponent prime factors to calculate the LCM of 10847 and 10862.
LCM(10847,10862) = 108471 × 21 × 54311
LCM(10847,10862) = 117820114
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