What is the Least Common Multiple of 92429 and 92433?
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 92429 and 92433 is 8543489757.
LCM(92429,92433) = 8543489757
Least Common Multiple of 92429 and 92433 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92429 and 92433, than apply into the LCM equation.
GCF(92429,92433) = 1
LCM(92429,92433) = ( 92429 × 92433) / 1
LCM(92429,92433) = 8543489757 / 1
LCM(92429,92433) = 8543489757
Least Common Multiple (LCM) of 92429 and 92433 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92429 and 92433. First we will calculate the prime factors of 92429 and 92433.
Prime Factorization of 92429
Prime factors of 92429 are 17, 5437. Prime factorization of 92429 in exponential form is:
92429 = 171 × 54371
Prime Factorization of 92433
Prime factors of 92433 are 3, 11, 2801. Prime factorization of 92433 in exponential form is:
92433 = 31 × 111 × 28011
Now multiplying the highest exponent prime factors to calculate the LCM of 92429 and 92433.
LCM(92429,92433) = 171 × 54371 × 31 × 111 × 28011
LCM(92429,92433) = 8543489757
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