What is the Least Common Multiple of 93437 and 93442?
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 93437 and 93442 is 8730940154.
LCM(93437,93442) = 8730940154
Least Common Multiple of 93437 and 93442 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93437 and 93442, than apply into the LCM equation.
GCF(93437,93442) = 1
LCM(93437,93442) = ( 93437 × 93442) / 1
LCM(93437,93442) = 8730940154 / 1
LCM(93437,93442) = 8730940154
Least Common Multiple (LCM) of 93437 and 93442 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93437 and 93442. First we will calculate the prime factors of 93437 and 93442.
Prime Factorization of 93437
Prime factors of 93437 are 223, 419. Prime factorization of 93437 in exponential form is:
93437 = 2231 × 4191
Prime Factorization of 93442
Prime factors of 93442 are 2, 19, 2459. Prime factorization of 93442 in exponential form is:
93442 = 21 × 191 × 24591
Now multiplying the highest exponent prime factors to calculate the LCM of 93437 and 93442.
LCM(93437,93442) = 2231 × 4191 × 21 × 191 × 24591
LCM(93437,93442) = 8730940154
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