What is the Least Common Multiple of 93017 and 93034?
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 93017 and 93034 is 8653743578.
LCM(93017,93034) = 8653743578
Least Common Multiple of 93017 and 93034 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93017 and 93034, than apply into the LCM equation.
GCF(93017,93034) = 1
LCM(93017,93034) = ( 93017 × 93034) / 1
LCM(93017,93034) = 8653743578 / 1
LCM(93017,93034) = 8653743578
Least Common Multiple (LCM) of 93017 and 93034 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93017 and 93034. First we will calculate the prime factors of 93017 and 93034.
Prime Factorization of 93017
Prime factors of 93017 are 191, 487. Prime factorization of 93017 in exponential form is:
93017 = 1911 × 4871
Prime Factorization of 93034
Prime factors of 93034 are 2, 181, 257. Prime factorization of 93034 in exponential form is:
93034 = 21 × 1811 × 2571
Now multiplying the highest exponent prime factors to calculate the LCM of 93017 and 93034.
LCM(93017,93034) = 1911 × 4871 × 21 × 1811 × 2571
LCM(93017,93034) = 8653743578
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