What is the Least Common Multiple of 93007 and 93026?
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 93007 and 93026 is 8652069182.
LCM(93007,93026) = 8652069182
Least Common Multiple of 93007 and 93026 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93007 and 93026, than apply into the LCM equation.
GCF(93007,93026) = 1
LCM(93007,93026) = ( 93007 × 93026) / 1
LCM(93007,93026) = 8652069182 / 1
LCM(93007,93026) = 8652069182
Least Common Multiple (LCM) of 93007 and 93026 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93007 and 93026. First we will calculate the prime factors of 93007 and 93026.
Prime Factorization of 93007
Prime factors of 93007 are 17, 5471. Prime factorization of 93007 in exponential form is:
93007 = 171 × 54711
Prime Factorization of 93026
Prime factors of 93026 are 2, 193, 241. Prime factorization of 93026 in exponential form is:
93026 = 21 × 1931 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 93007 and 93026.
LCM(93007,93026) = 171 × 54711 × 21 × 1931 × 2411
LCM(93007,93026) = 8652069182
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