What is the Least Common Multiple of 92923 and 92936?
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 92923 and 92936 is 8635891928.
LCM(92923,92936) = 8635891928
Least Common Multiple of 92923 and 92936 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92923 and 92936, than apply into the LCM equation.
GCF(92923,92936) = 1
LCM(92923,92936) = ( 92923 × 92936) / 1
LCM(92923,92936) = 8635891928 / 1
LCM(92923,92936) = 8635891928
Least Common Multiple (LCM) of 92923 and 92936 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92923 and 92936. First we will calculate the prime factors of 92923 and 92936.
Prime Factorization of 92923
Prime factors of 92923 are 43, 2161. Prime factorization of 92923 in exponential form is:
92923 = 431 × 21611
Prime Factorization of 92936
Prime factors of 92936 are 2, 11617. Prime factorization of 92936 in exponential form is:
92936 = 23 × 116171
Now multiplying the highest exponent prime factors to calculate the LCM of 92923 and 92936.
LCM(92923,92936) = 431 × 21611 × 23 × 116171
LCM(92923,92936) = 8635891928
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