What is the Least Common Multiple of 92663 and 92668?
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 92663 and 92668 is 8586894884.
LCM(92663,92668) = 8586894884
Least Common Multiple of 92663 and 92668 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92663 and 92668, than apply into the LCM equation.
GCF(92663,92668) = 1
LCM(92663,92668) = ( 92663 × 92668) / 1
LCM(92663,92668) = 8586894884 / 1
LCM(92663,92668) = 8586894884
Least Common Multiple (LCM) of 92663 and 92668 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92663 and 92668. First we will calculate the prime factors of 92663 and 92668.
Prime Factorization of 92663
Prime factors of 92663 are 19, 4877. Prime factorization of 92663 in exponential form is:
92663 = 191 × 48771
Prime Factorization of 92668
Prime factors of 92668 are 2, 23167. Prime factorization of 92668 in exponential form is:
92668 = 22 × 231671
Now multiplying the highest exponent prime factors to calculate the LCM of 92663 and 92668.
LCM(92663,92668) = 191 × 48771 × 22 × 231671
LCM(92663,92668) = 8586894884
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