What is the Least Common Multiple of 92221 and 92231?
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 92221 and 92231 is 8505635051.
LCM(92221,92231) = 8505635051
Least Common Multiple of 92221 and 92231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92221 and 92231, than apply into the LCM equation.
GCF(92221,92231) = 1
LCM(92221,92231) = ( 92221 × 92231) / 1
LCM(92221,92231) = 8505635051 / 1
LCM(92221,92231) = 8505635051
Least Common Multiple (LCM) of 92221 and 92231 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92221 and 92231. First we will calculate the prime factors of 92221 and 92231.
Prime Factorization of 92221
Prime factors of 92221 are 92221. Prime factorization of 92221 in exponential form is:
92221 = 922211
Prime Factorization of 92231
Prime factors of 92231 are 149, 619. Prime factorization of 92231 in exponential form is:
92231 = 1491 × 6191
Now multiplying the highest exponent prime factors to calculate the LCM of 92221 and 92231.
LCM(92221,92231) = 922211 × 1491 × 6191
LCM(92221,92231) = 8505635051
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