What is the Least Common Multiple of 92023 and 92042?
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 92023 and 92042 is 8469980966.
LCM(92023,92042) = 8469980966
Least Common Multiple of 92023 and 92042 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92023 and 92042, than apply into the LCM equation.
GCF(92023,92042) = 1
LCM(92023,92042) = ( 92023 × 92042) / 1
LCM(92023,92042) = 8469980966 / 1
LCM(92023,92042) = 8469980966
Least Common Multiple (LCM) of 92023 and 92042 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92023 and 92042. First we will calculate the prime factors of 92023 and 92042.
Prime Factorization of 92023
Prime factors of 92023 are 23, 4001. Prime factorization of 92023 in exponential form is:
92023 = 231 × 40011
Prime Factorization of 92042
Prime factors of 92042 are 2, 46021. Prime factorization of 92042 in exponential form is:
92042 = 21 × 460211
Now multiplying the highest exponent prime factors to calculate the LCM of 92023 and 92042.
LCM(92023,92042) = 231 × 40011 × 21 × 460211
LCM(92023,92042) = 8469980966
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