What is the Least Common Multiple of 93011 and 93031?
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 93011 and 93031 is 8652906341.
LCM(93011,93031) = 8652906341
Least Common Multiple of 93011 and 93031 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93011 and 93031, than apply into the LCM equation.
GCF(93011,93031) = 1
LCM(93011,93031) = ( 93011 × 93031) / 1
LCM(93011,93031) = 8652906341 / 1
LCM(93011,93031) = 8652906341
Least Common Multiple (LCM) of 93011 and 93031 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93011 and 93031. First we will calculate the prime factors of 93011 and 93031.
Prime Factorization of 93011
Prime factors of 93011 are 281, 331. Prime factorization of 93011 in exponential form is:
93011 = 2811 × 3311
Prime Factorization of 93031
Prime factors of 93031 are 31, 3001. Prime factorization of 93031 in exponential form is:
93031 = 311 × 30011
Now multiplying the highest exponent prime factors to calculate the LCM of 93011 and 93031.
LCM(93011,93031) = 2811 × 3311 × 311 × 30011
LCM(93011,93031) = 8652906341
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