What is the Least Common Multiple of 92482 and 92498?
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 92482 and 92498 is 4277200018.
LCM(92482,92498) = 4277200018
Least Common Multiple of 92482 and 92498 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92482 and 92498, than apply into the LCM equation.
GCF(92482,92498) = 2
LCM(92482,92498) = ( 92482 × 92498) / 2
LCM(92482,92498) = 8554400036 / 2
LCM(92482,92498) = 4277200018
Least Common Multiple (LCM) of 92482 and 92498 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92482 and 92498. First we will calculate the prime factors of 92482 and 92498.
Prime Factorization of 92482
Prime factors of 92482 are 2, 13, 3557. Prime factorization of 92482 in exponential form is:
92482 = 21 × 131 × 35571
Prime Factorization of 92498
Prime factors of 92498 are 2, 7, 6607. Prime factorization of 92498 in exponential form is:
92498 = 21 × 71 × 66071
Now multiplying the highest exponent prime factors to calculate the LCM of 92482 and 92498.
LCM(92482,92498) = 21 × 131 × 35571 × 71 × 66071
LCM(92482,92498) = 4277200018
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