What is the Least Common Multiple of 94917 and 94922?
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 94917 and 94922 is 9009711474.
LCM(94917,94922) = 9009711474
Least Common Multiple of 94917 and 94922 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94917 and 94922, than apply into the LCM equation.
GCF(94917,94922) = 1
LCM(94917,94922) = ( 94917 × 94922) / 1
LCM(94917,94922) = 9009711474 / 1
LCM(94917,94922) = 9009711474
Least Common Multiple (LCM) of 94917 and 94922 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94917 and 94922. First we will calculate the prime factors of 94917 and 94922.
Prime Factorization of 94917
Prime factors of 94917 are 3, 29, 1091. Prime factorization of 94917 in exponential form is:
94917 = 31 × 291 × 10911
Prime Factorization of 94922
Prime factors of 94922 are 2, 31, 1531. Prime factorization of 94922 in exponential form is:
94922 = 21 × 311 × 15311
Now multiplying the highest exponent prime factors to calculate the LCM of 94917 and 94922.
LCM(94917,94922) = 31 × 291 × 10911 × 21 × 311 × 15311
LCM(94917,94922) = 9009711474
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