What is the Least Common Multiple of 92911 and 92922?
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 92911 and 92922 is 8633475942.
LCM(92911,92922) = 8633475942
Least Common Multiple of 92911 and 92922 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92911 and 92922, than apply into the LCM equation.
GCF(92911,92922) = 1
LCM(92911,92922) = ( 92911 × 92922) / 1
LCM(92911,92922) = 8633475942 / 1
LCM(92911,92922) = 8633475942
Least Common Multiple (LCM) of 92911 and 92922 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92911 and 92922. First we will calculate the prime factors of 92911 and 92922.
Prime Factorization of 92911
Prime factors of 92911 are 7, 13, 1021. Prime factorization of 92911 in exponential form is:
92911 = 71 × 131 × 10211
Prime Factorization of 92922
Prime factors of 92922 are 2, 3, 17, 911. Prime factorization of 92922 in exponential form is:
92922 = 21 × 31 × 171 × 9111
Now multiplying the highest exponent prime factors to calculate the LCM of 92911 and 92922.
LCM(92911,92922) = 71 × 131 × 10211 × 21 × 31 × 171 × 9111
LCM(92911,92922) = 8633475942
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