What is the Least Common Multiple of 93442 and 93447?
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 93442 and 93447 is 8731874574.
LCM(93442,93447) = 8731874574
Least Common Multiple of 93442 and 93447 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93442 and 93447, than apply into the LCM equation.
GCF(93442,93447) = 1
LCM(93442,93447) = ( 93442 × 93447) / 1
LCM(93442,93447) = 8731874574 / 1
LCM(93442,93447) = 8731874574
Least Common Multiple (LCM) of 93442 and 93447 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93442 and 93447. First we will calculate the prime factors of 93442 and 93447.
Prime Factorization of 93442
Prime factors of 93442 are 2, 19, 2459. Prime factorization of 93442 in exponential form is:
93442 = 21 × 191 × 24591
Prime Factorization of 93447
Prime factors of 93447 are 3, 3461. Prime factorization of 93447 in exponential form is:
93447 = 33 × 34611
Now multiplying the highest exponent prime factors to calculate the LCM of 93442 and 93447.
LCM(93442,93447) = 21 × 191 × 24591 × 33 × 34611
LCM(93442,93447) = 8731874574
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