What is the Least Common Multiple of 92165 and 92174?
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 92165 and 92174 is 8495216710.
LCM(92165,92174) = 8495216710
Least Common Multiple of 92165 and 92174 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92165 and 92174, than apply into the LCM equation.
GCF(92165,92174) = 1
LCM(92165,92174) = ( 92165 × 92174) / 1
LCM(92165,92174) = 8495216710 / 1
LCM(92165,92174) = 8495216710
Least Common Multiple (LCM) of 92165 and 92174 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92165 and 92174. First we will calculate the prime factors of 92165 and 92174.
Prime Factorization of 92165
Prime factors of 92165 are 5, 18433. Prime factorization of 92165 in exponential form is:
92165 = 51 × 184331
Prime Factorization of 92174
Prime factors of 92174 are 2, 17, 2711. Prime factorization of 92174 in exponential form is:
92174 = 21 × 171 × 27111
Now multiplying the highest exponent prime factors to calculate the LCM of 92165 and 92174.
LCM(92165,92174) = 51 × 184331 × 21 × 171 × 27111
LCM(92165,92174) = 8495216710
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