What is the Least Common Multiple of 92494 and 92513?
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 92494 and 92513 is 8556897422.
LCM(92494,92513) = 8556897422
Least Common Multiple of 92494 and 92513 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92494 and 92513, than apply into the LCM equation.
GCF(92494,92513) = 1
LCM(92494,92513) = ( 92494 × 92513) / 1
LCM(92494,92513) = 8556897422 / 1
LCM(92494,92513) = 8556897422
Least Common Multiple (LCM) of 92494 and 92513 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92494 and 92513. First we will calculate the prime factors of 92494 and 92513.
Prime Factorization of 92494
Prime factors of 92494 are 2, 103, 449. Prime factorization of 92494 in exponential form is:
92494 = 21 × 1031 × 4491
Prime Factorization of 92513
Prime factors of 92513 are 71, 1303. Prime factorization of 92513 in exponential form is:
92513 = 711 × 13031
Now multiplying the highest exponent prime factors to calculate the LCM of 92494 and 92513.
LCM(92494,92513) = 21 × 1031 × 4491 × 711 × 13031
LCM(92494,92513) = 8556897422
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