What is the Least Common Multiple of 84911 and 84927?
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 84911 and 84927 is 7211236497.
LCM(84911,84927) = 7211236497
Least Common Multiple of 84911 and 84927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84911 and 84927, than apply into the LCM equation.
GCF(84911,84927) = 1
LCM(84911,84927) = ( 84911 × 84927) / 1
LCM(84911,84927) = 7211236497 / 1
LCM(84911,84927) = 7211236497
Least Common Multiple (LCM) of 84911 and 84927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84911 and 84927. First we will calculate the prime factors of 84911 and 84927.
Prime Factorization of 84911
Prime factors of 84911 are 19, 41, 109. Prime factorization of 84911 in exponential form is:
84911 = 191 × 411 × 1091
Prime Factorization of 84927
Prime factors of 84927 are 3, 28309. Prime factorization of 84927 in exponential form is:
84927 = 31 × 283091
Now multiplying the highest exponent prime factors to calculate the LCM of 84911 and 84927.
LCM(84911,84927) = 191 × 411 × 1091 × 31 × 283091
LCM(84911,84927) = 7211236497
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