What is the Least Common Multiple of 92263 and 92271?
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 92263 and 92271 is 8513199273.
LCM(92263,92271) = 8513199273
Least Common Multiple of 92263 and 92271 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92263 and 92271, than apply into the LCM equation.
GCF(92263,92271) = 1
LCM(92263,92271) = ( 92263 × 92271) / 1
LCM(92263,92271) = 8513199273 / 1
LCM(92263,92271) = 8513199273
Least Common Multiple (LCM) of 92263 and 92271 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92263 and 92271. First we will calculate the prime factors of 92263 and 92271.
Prime Factorization of 92263
Prime factors of 92263 are 257, 359. Prime factorization of 92263 in exponential form is:
92263 = 2571 × 3591
Prime Factorization of 92271
Prime factors of 92271 are 3, 30757. Prime factorization of 92271 in exponential form is:
92271 = 31 × 307571
Now multiplying the highest exponent prime factors to calculate the LCM of 92263 and 92271.
LCM(92263,92271) = 2571 × 3591 × 31 × 307571
LCM(92263,92271) = 8513199273
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