What is the Least Common Multiple of 92149 and 92161?
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 92149 and 92161 is 8492543989.
LCM(92149,92161) = 8492543989
Least Common Multiple of 92149 and 92161 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92149 and 92161, than apply into the LCM equation.
GCF(92149,92161) = 1
LCM(92149,92161) = ( 92149 × 92161) / 1
LCM(92149,92161) = 8492543989 / 1
LCM(92149,92161) = 8492543989
Least Common Multiple (LCM) of 92149 and 92161 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92149 and 92161. First we will calculate the prime factors of 92149 and 92161.
Prime Factorization of 92149
Prime factors of 92149 are 43, 2143. Prime factorization of 92149 in exponential form is:
92149 = 431 × 21431
Prime Factorization of 92161
Prime factors of 92161 are 23, 4007. Prime factorization of 92161 in exponential form is:
92161 = 231 × 40071
Now multiplying the highest exponent prime factors to calculate the LCM of 92149 and 92161.
LCM(92149,92161) = 431 × 21431 × 231 × 40071
LCM(92149,92161) = 8492543989
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