What is the Least Common Multiple of 93547 and 93556?
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 93547 and 93556 is 8751883132.
LCM(93547,93556) = 8751883132
Least Common Multiple of 93547 and 93556 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93547 and 93556, than apply into the LCM equation.
GCF(93547,93556) = 1
LCM(93547,93556) = ( 93547 × 93556) / 1
LCM(93547,93556) = 8751883132 / 1
LCM(93547,93556) = 8751883132
Least Common Multiple (LCM) of 93547 and 93556 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93547 and 93556. First we will calculate the prime factors of 93547 and 93556.
Prime Factorization of 93547
Prime factors of 93547 are 139, 673. Prime factorization of 93547 in exponential form is:
93547 = 1391 × 6731
Prime Factorization of 93556
Prime factors of 93556 are 2, 19, 1231. Prime factorization of 93556 in exponential form is:
93556 = 22 × 191 × 12311
Now multiplying the highest exponent prime factors to calculate the LCM of 93547 and 93556.
LCM(93547,93556) = 1391 × 6731 × 22 × 191 × 12311
LCM(93547,93556) = 8751883132
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