What is the Least Common Multiple of 83911 and 83927?
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 83911 and 83927 is 7042398497.
LCM(83911,83927) = 7042398497
Least Common Multiple of 83911 and 83927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83911 and 83927, than apply into the LCM equation.
GCF(83911,83927) = 1
LCM(83911,83927) = ( 83911 × 83927) / 1
LCM(83911,83927) = 7042398497 / 1
LCM(83911,83927) = 7042398497
Least Common Multiple (LCM) of 83911 and 83927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 83911 and 83927. First we will calculate the prime factors of 83911 and 83927.
Prime Factorization of 83911
Prime factors of 83911 are 83911. Prime factorization of 83911 in exponential form is:
83911 = 839111
Prime Factorization of 83927
Prime factors of 83927 are 23, 41, 89. Prime factorization of 83927 in exponential form is:
83927 = 231 × 411 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 83911 and 83927.
LCM(83911,83927) = 839111 × 231 × 411 × 891
LCM(83911,83927) = 7042398497
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