What is the Least Common Multiple of 92281 and 92298?
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 92281 and 92298 is 8517351738.
LCM(92281,92298) = 8517351738
Least Common Multiple of 92281 and 92298 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92281 and 92298, than apply into the LCM equation.
GCF(92281,92298) = 1
LCM(92281,92298) = ( 92281 × 92298) / 1
LCM(92281,92298) = 8517351738 / 1
LCM(92281,92298) = 8517351738
Least Common Multiple (LCM) of 92281 and 92298 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92281 and 92298. First we will calculate the prime factors of 92281 and 92298.
Prime Factorization of 92281
Prime factors of 92281 are 7, 13183. Prime factorization of 92281 in exponential form is:
92281 = 71 × 131831
Prime Factorization of 92298
Prime factors of 92298 are 2, 3, 15383. Prime factorization of 92298 in exponential form is:
92298 = 21 × 31 × 153831
Now multiplying the highest exponent prime factors to calculate the LCM of 92281 and 92298.
LCM(92281,92298) = 71 × 131831 × 21 × 31 × 153831
LCM(92281,92298) = 8517351738
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