What is the Least Common Multiple of 94903 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 94903 and 94922 is 9008382566.
LCM(94903,94922) = 9008382566
Least Common Multiple of 94903 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 94903 and 94922, than apply into the LCM equation.
GCF(94903,94922) = 1
LCM(94903,94922) = ( 94903 × 94922) / 1
LCM(94903,94922) = 9008382566 / 1
LCM(94903,94922) = 9008382566
Least Common Multiple (LCM) of 94903 and 94922 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94903 and 94922. First we will calculate the prime factors of 94903 and 94922.
Prime Factorization of 94903
Prime factors of 94903 are 94903. Prime factorization of 94903 in exponential form is:
94903 = 949031
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 94903 and 94922.
LCM(94903,94922) = 949031 × 21 × 311 × 15311
LCM(94903,94922) = 9008382566
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