What is the Least Common Multiple of 93223 and 93242?
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 93223 and 93242 is 8692298966.
LCM(93223,93242) = 8692298966
Least Common Multiple of 93223 and 93242 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93223 and 93242, than apply into the LCM equation.
GCF(93223,93242) = 1
LCM(93223,93242) = ( 93223 × 93242) / 1
LCM(93223,93242) = 8692298966 / 1
LCM(93223,93242) = 8692298966
Least Common Multiple (LCM) of 93223 and 93242 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93223 and 93242. First we will calculate the prime factors of 93223 and 93242.
Prime Factorization of 93223
Prime factors of 93223 are 13, 71, 101. Prime factorization of 93223 in exponential form is:
93223 = 131 × 711 × 1011
Prime Factorization of 93242
Prime factors of 93242 are 2, 23, 2027. Prime factorization of 93242 in exponential form is:
93242 = 21 × 231 × 20271
Now multiplying the highest exponent prime factors to calculate the LCM of 93223 and 93242.
LCM(93223,93242) = 131 × 711 × 1011 × 21 × 231 × 20271
LCM(93223,93242) = 8692298966
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