What is the Least Common Multiple of 92161 and 92166?
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 92161 and 92166 is 8494110726.
LCM(92161,92166) = 8494110726
Least Common Multiple of 92161 and 92166 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92161 and 92166, than apply into the LCM equation.
GCF(92161,92166) = 1
LCM(92161,92166) = ( 92161 × 92166) / 1
LCM(92161,92166) = 8494110726 / 1
LCM(92161,92166) = 8494110726
Least Common Multiple (LCM) of 92161 and 92166 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92161 and 92166. First we will calculate the prime factors of 92161 and 92166.
Prime Factorization of 92161
Prime factors of 92161 are 23, 4007. Prime factorization of 92161 in exponential form is:
92161 = 231 × 40071
Prime Factorization of 92166
Prime factors of 92166 are 2, 3, 15361. Prime factorization of 92166 in exponential form is:
92166 = 21 × 31 × 153611
Now multiplying the highest exponent prime factors to calculate the LCM of 92161 and 92166.
LCM(92161,92166) = 231 × 40071 × 21 × 31 × 153611
LCM(92161,92166) = 8494110726
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