What is the Least Common Multiple of 92933 and 92942?
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 92933 and 92942 is 8637378886.
LCM(92933,92942) = 8637378886
Least Common Multiple of 92933 and 92942 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92933 and 92942, than apply into the LCM equation.
GCF(92933,92942) = 1
LCM(92933,92942) = ( 92933 × 92942) / 1
LCM(92933,92942) = 8637378886 / 1
LCM(92933,92942) = 8637378886
Least Common Multiple (LCM) of 92933 and 92942 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92933 and 92942. First we will calculate the prime factors of 92933 and 92942.
Prime Factorization of 92933
Prime factors of 92933 are 199, 467. Prime factorization of 92933 in exponential form is:
92933 = 1991 × 4671
Prime Factorization of 92942
Prime factors of 92942 are 2, 46471. Prime factorization of 92942 in exponential form is:
92942 = 21 × 464711
Now multiplying the highest exponent prime factors to calculate the LCM of 92933 and 92942.
LCM(92933,92942) = 1991 × 4671 × 21 × 464711
LCM(92933,92942) = 8637378886
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