What is the Least Common Multiple of 93542 and 93547?
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 93542 and 93547 is 8750573474.
LCM(93542,93547) = 8750573474
Least Common Multiple of 93542 and 93547 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93542 and 93547, than apply into the LCM equation.
GCF(93542,93547) = 1
LCM(93542,93547) = ( 93542 × 93547) / 1
LCM(93542,93547) = 8750573474 / 1
LCM(93542,93547) = 8750573474
Least Common Multiple (LCM) of 93542 and 93547 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93542 and 93547. First we will calculate the prime factors of 93542 and 93547.
Prime Factorization of 93542
Prime factors of 93542 are 2, 46771. Prime factorization of 93542 in exponential form is:
93542 = 21 × 467711
Prime Factorization of 93547
Prime factors of 93547 are 139, 673. Prime factorization of 93547 in exponential form is:
93547 = 1391 × 6731
Now multiplying the highest exponent prime factors to calculate the LCM of 93542 and 93547.
LCM(93542,93547) = 21 × 467711 × 1391 × 6731
LCM(93542,93547) = 8750573474
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