What is the Least Common Multiple of 84281 and 84291?
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 84281 and 84291 is 7104129771.
LCM(84281,84291) = 7104129771
Least Common Multiple of 84281 and 84291 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84281 and 84291, than apply into the LCM equation.
GCF(84281,84291) = 1
LCM(84281,84291) = ( 84281 × 84291) / 1
LCM(84281,84291) = 7104129771 / 1
LCM(84281,84291) = 7104129771
Least Common Multiple (LCM) of 84281 and 84291 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84281 and 84291. First we will calculate the prime factors of 84281 and 84291.
Prime Factorization of 84281
Prime factors of 84281 are 271, 311. Prime factorization of 84281 in exponential form is:
84281 = 2711 × 3111
Prime Factorization of 84291
Prime factors of 84291 are 3, 28097. Prime factorization of 84291 in exponential form is:
84291 = 31 × 280971
Now multiplying the highest exponent prime factors to calculate the LCM of 84281 and 84291.
LCM(84281,84291) = 2711 × 3111 × 31 × 280971
LCM(84281,84291) = 7104129771
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