What is the Least Common Multiple of 92433 and 92444?
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 92433 and 92444 is 776806932.
LCM(92433,92444) = 776806932
Least Common Multiple of 92433 and 92444 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92433 and 92444, than apply into the LCM equation.
GCF(92433,92444) = 11
LCM(92433,92444) = ( 92433 × 92444) / 11
LCM(92433,92444) = 8544876252 / 11
LCM(92433,92444) = 776806932
Least Common Multiple (LCM) of 92433 and 92444 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92433 and 92444. First we will calculate the prime factors of 92433 and 92444.
Prime Factorization of 92433
Prime factors of 92433 are 3, 11, 2801. Prime factorization of 92433 in exponential form is:
92433 = 31 × 111 × 28011
Prime Factorization of 92444
Prime factors of 92444 are 2, 11, 191. Prime factorization of 92444 in exponential form is:
92444 = 22 × 112 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 92433 and 92444.
LCM(92433,92444) = 31 × 112 × 28011 × 22 × 1911
LCM(92433,92444) = 776806932
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