What is the Least Common Multiple of 93011 and 93015?
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 93015 is 8651418165.
LCM(93011,93015) = 8651418165
Least Common Multiple of 93011 and 93015 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 93015, than apply into the LCM equation.
GCF(93011,93015) = 1
LCM(93011,93015) = ( 93011 × 93015) / 1
LCM(93011,93015) = 8651418165 / 1
LCM(93011,93015) = 8651418165
Least Common Multiple (LCM) of 93011 and 93015 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93011 and 93015. First we will calculate the prime factors of 93011 and 93015.
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 93015
Prime factors of 93015 are 3, 5, 13, 53. Prime factorization of 93015 in exponential form is:
93015 = 33 × 51 × 131 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 93011 and 93015.
LCM(93011,93015) = 2811 × 3311 × 33 × 51 × 131 × 531
LCM(93011,93015) = 8651418165
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