What is the Least Common Multiple of 92327 and 92332?
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 92327 and 92332 is 8524736564.
LCM(92327,92332) = 8524736564
Least Common Multiple of 92327 and 92332 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92327 and 92332, than apply into the LCM equation.
GCF(92327,92332) = 1
LCM(92327,92332) = ( 92327 × 92332) / 1
LCM(92327,92332) = 8524736564 / 1
LCM(92327,92332) = 8524736564
Least Common Multiple (LCM) of 92327 and 92332 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92327 and 92332. First we will calculate the prime factors of 92327 and 92332.
Prime Factorization of 92327
Prime factors of 92327 are 17, 5431. Prime factorization of 92327 in exponential form is:
92327 = 171 × 54311
Prime Factorization of 92332
Prime factors of 92332 are 2, 41, 563. Prime factorization of 92332 in exponential form is:
92332 = 22 × 411 × 5631
Now multiplying the highest exponent prime factors to calculate the LCM of 92327 and 92332.
LCM(92327,92332) = 171 × 54311 × 22 × 411 × 5631
LCM(92327,92332) = 8524736564
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