What is the Least Common Multiple of 93163 and 93183?
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 93163 and 93183 is 8681207829.
LCM(93163,93183) = 8681207829
Least Common Multiple of 93163 and 93183 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93163 and 93183, than apply into the LCM equation.
GCF(93163,93183) = 1
LCM(93163,93183) = ( 93163 × 93183) / 1
LCM(93163,93183) = 8681207829 / 1
LCM(93163,93183) = 8681207829
Least Common Multiple (LCM) of 93163 and 93183 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93163 and 93183. First we will calculate the prime factors of 93163 and 93183.
Prime Factorization of 93163
Prime factors of 93163 are 7, 13309. Prime factorization of 93163 in exponential form is:
93163 = 71 × 133091
Prime Factorization of 93183
Prime factors of 93183 are 3, 89, 349. Prime factorization of 93183 in exponential form is:
93183 = 31 × 891 × 3491
Now multiplying the highest exponent prime factors to calculate the LCM of 93163 and 93183.
LCM(93163,93183) = 71 × 133091 × 31 × 891 × 3491
LCM(93163,93183) = 8681207829
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