What is the Least Common Multiple of 92327 and 92334?
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 92334 is 8524921218.
LCM(92327,92334) = 8524921218
Least Common Multiple of 92327 and 92334 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 92334, than apply into the LCM equation.
GCF(92327,92334) = 1
LCM(92327,92334) = ( 92327 × 92334) / 1
LCM(92327,92334) = 8524921218 / 1
LCM(92327,92334) = 8524921218
Least Common Multiple (LCM) of 92327 and 92334 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92327 and 92334. First we will calculate the prime factors of 92327 and 92334.
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 92334
Prime factors of 92334 are 2, 3, 11, 1399. Prime factorization of 92334 in exponential form is:
92334 = 21 × 31 × 111 × 13991
Now multiplying the highest exponent prime factors to calculate the LCM of 92327 and 92334.
LCM(92327,92334) = 171 × 54311 × 21 × 31 × 111 × 13991
LCM(92327,92334) = 8524921218
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