What is the Least Common Multiple of 92915 and 92933?
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 92915 and 92933 is 8634869695.
LCM(92915,92933) = 8634869695
Least Common Multiple of 92915 and 92933 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92915 and 92933, than apply into the LCM equation.
GCF(92915,92933) = 1
LCM(92915,92933) = ( 92915 × 92933) / 1
LCM(92915,92933) = 8634869695 / 1
LCM(92915,92933) = 8634869695
Least Common Multiple (LCM) of 92915 and 92933 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92915 and 92933. First we will calculate the prime factors of 92915 and 92933.
Prime Factorization of 92915
Prime factors of 92915 are 5, 18583. Prime factorization of 92915 in exponential form is:
92915 = 51 × 185831
Prime Factorization of 92933
Prime factors of 92933 are 199, 467. Prime factorization of 92933 in exponential form is:
92933 = 1991 × 4671
Now multiplying the highest exponent prime factors to calculate the LCM of 92915 and 92933.
LCM(92915,92933) = 51 × 185831 × 1991 × 4671
LCM(92915,92933) = 8634869695
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