What is the Least Common Multiple of 92482 and 92493?
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 92493 is 8553937626.
LCM(92482,92493) = 8553937626
Least Common Multiple of 92482 and 92493 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 92493, than apply into the LCM equation.
GCF(92482,92493) = 1
LCM(92482,92493) = ( 92482 × 92493) / 1
LCM(92482,92493) = 8553937626 / 1
LCM(92482,92493) = 8553937626
Least Common Multiple (LCM) of 92482 and 92493 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92482 and 92493. First we will calculate the prime factors of 92482 and 92493.
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 92493
Prime factors of 92493 are 3, 43, 239. Prime factorization of 92493 in exponential form is:
92493 = 32 × 431 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 92482 and 92493.
LCM(92482,92493) = 21 × 131 × 35571 × 32 × 431 × 2391
LCM(92482,92493) = 8553937626
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