What is the Least Common Multiple of 92867 and 92881?
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 92867 and 92881 is 8625579827.
LCM(92867,92881) = 8625579827
Least Common Multiple of 92867 and 92881 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92867 and 92881, than apply into the LCM equation.
GCF(92867,92881) = 1
LCM(92867,92881) = ( 92867 × 92881) / 1
LCM(92867,92881) = 8625579827 / 1
LCM(92867,92881) = 8625579827
Least Common Multiple (LCM) of 92867 and 92881 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92867 and 92881. First we will calculate the prime factors of 92867 and 92881.
Prime Factorization of 92867
Prime factors of 92867 are 92867. Prime factorization of 92867 in exponential form is:
92867 = 928671
Prime Factorization of 92881
Prime factors of 92881 are 293, 317. Prime factorization of 92881 in exponential form is:
92881 = 2931 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 92867 and 92881.
LCM(92867,92881) = 928671 × 2931 × 3171
LCM(92867,92881) = 8625579827
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